New Jersey’s housing market just got a presidential upgrade.

The Princeton home of a former U.S. president just sold for $2 million above market value this month, and another POTUS residence in the same leafy suburb has hit the market — and is commanding an executive pricetag.

The seven bedroom, 5½-bathroom, Tudor Revival-style home where Woodrow Wilson lived until he was elected president in 1912 first went on the market in May for an eye-popping $6.5 million.

The three-story house at 82 Library Pl. was built in 1896 on three-quarters of an acre and boasts stained-glass pocket doors, a greenhouse, a dumbwaiter, and “two patios serenaded by a fountain and a cascading koi pond,” reads the listing. 6

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The bathroom floors are heated.

There’s also balcony as well as “window seats a

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