Peaches Geldof owed around $1 million at the time of her death.
According to the Daily Mirror newspaper, the late star, who died from a drug overdose in April 2014 aged 25, did not have a will but details of her estate have revealed she left close to $2m.
But the publication claims her gross estate was reduced to $850,000 after debts and outstanding affairs were settled.
It is not known what the debts relate to but by law if someone without a will dies then the first $500,000 of their estate goes to their civil or married partner.
As a result, Peaches' musician husband Thomas Cohen will receive $500,000 from her estate, and the additional $300,000 will be split between him, and the couple's two sons, Astala, three, and two-year-old Phaedra.