The final piece of Johnny Depp’s five-unit apartment spread in Downtown Los Angeles has found a buyer.

The colorful one-bedroom has just sold for $1.425 million, said listing agent Kevin Dees. It’s the final of five units atop the Eastern Columbia Building that the "Pirates of the Caribbean" actor loosely combined into a multi-floor penthouse and put on the market for a combined $12.78 million.

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Mr. Dees and Nick Segal handled the listings for Partners Trust.

It took about a year for the actor to sell off the five units—comprised of four two-bedrooms and the single one-bedroom that sold this week. In the end, he banked a total of nearly $10.9 million, Mr. Dees said.

He began buying up units a decade ago from the developers who redid the interiors of the 1930s Art Deco building, recognizable from its trademark four-sided clock tower—spending about $7.2 million between 2007 and 2008, property records show.

That’s a pretty good return for the serial real estate investor, who also owns a massive French estate that he’s selling for $39 million and a Kentucky horse farm that he tried to auction off in September (but reportedly didn’t sell in the end).

But a deep-pocketed fan of Mr. Depp can still live like the star in his former pad, as the buyer in this latest sale has already put the home up for rent for $5,500 a month. Mr. Dees, who moved to The Agency as director of the estates division, is now marketing the rental unit.

This unit is a brightly decorated, two-story apartment spanning 1,780 square feet. Mr. Depp commissioned a surreal floor-to-ceiling mural by Brazilian street artists Osgemeos in the main living space, which served as an open living room, dining room and kitchen.

A large landing overlooking the mural and great room serves as another sitting room, before the steel-framed staircase leads to the bedroom on the second floor, according to the listing.

Mr. Depp, 54, had loosely combined the five homes, using each apartment like "rooms in a home," Mr. Dees said.

Rather than fully integrating them all into a single penthouse, he connected three units as his entertaining and living space, while keeping the two remaining units separate as an art studio and a guest suite.

The building has a shared terrace, saltwater pool and spa, sundeck and fitness studio.

The last apartment to sell closed in August for $2.75 million. Before that, sales included Mr. Depp's two-bedroom, three-bathroom unit for $2.5 million, and a 2,400-square-foot unit for for $3.9 million, Mansion Global previously reported.

Two of the five sales set records for price per square foot in the historic district where Eastern Columbia is located, Mr. Dees said.

A publicist for Mr. Depp did not immediately return request for comment.