Glitter, whose real name is Paul Gadd, is being sued after his 2015 conviction for abusing the claimant and two other young people between 1975 and 1980.
She previously secured a default judgment in her claim - a ruling in her favour over Gadd's liability - and Mrs Justice Tipples said the woman was entitled to damages of £508,800 and should also be paid interest on the damages of about £84,000.
Glitter, 80, did not attend the hearing and was not represented by a lawyer, with the court told he had not engaged with the civil case.
The judge said in a 13-page ruling: "There is no doubt that the claimant was subject to sexual abuse of the most serious kind by the defendant when she was only 12 years old and that has had a very significant adverse impact on the rest of her life."
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