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Paris Hilton showed off photographs of her newborn son and revealed his name on social media.

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Hilton, 42, the great-granddaughter of Hilton Hotels founder Conrad Hilton, posted photos of Phoenix Barron Hilton Reum in an Instagram post on Thursday. “Baby Phoenix. Our whole entire world,” she wrote.

The reality star and husband Carter Reum announced the boy’s birth by surrogate on Jan. 24, People reported.

Hilton wears a white robe while holding the boy as Carter Reum kisses her forehead. In another shot, Hilton wears a simple white robe while holding her son, who is dressed in a white onesie and matching white hat, according to People.

Hilton revealed the name she and Reum chose on her podcast, “This Is Paris,” on Wednesday.

‘You are already loved’: Paris Hilton announces birth of her son

She said that not even her mother or sister had been told the child’s name, CNN reported.

“I’m so obsessed with my little angel and when he looks into my eyes, I just melt,” Hilton told of Glamour UK in an interview. “He’s such a good baby.”