Katy Perry Divorce Russell Brand Moving Out of Their Hollywood Mansion

1/7/2012 6:30 AM PST

Katy Perry Divorce -- Russell Brand Moving Out of the Hollywood Mansion

Katy Perry and Russell Brand have agreed ... Katy will stay in the couple's $6.5 million Hollywood Hills mansion and Russell will move out ... TMZ has learned.

Sources close to the couple tell us ... the moving process is already under way and most of Russell's stuff is already out of the home.

We're told ... the two are on reasonably good terms with each other, considering they just broke up ... and the decision over the house went pretty smoothly.

As we previously reported, the couple purchased the home together just a few months ago. We're guessing if Katy wants to stay in the home long term, she'll most likely have to cut Russell a big, fat check.