The son, also called Ferdinand Marcos but popularly known as Bongbong, lost the election for vice president last May to social activist and lawyer Leni Robredo by about 260,000 votes.
He has objected to the result ever since and the Supreme Court ruled in February that his protest was valid, but he has to pay for a recount of the votes.
On Monday, he deposited about 36 million pesos ($728,500) as payment for a recount of votes in 42 percent of polling precincts.
"It's good I have kind-hearted friends. They believe in my election protest because it is right, just and fair," Marcos told reporters after signing a check.
He did not elaborate on his friends.
She has been critical of some of his policies, including his deadly war on drugs, and delivered a video message to a U.N.
She also opposed the burial of the late dictator Marcos at a heroes' cemetery.
Last year, Duterte instructed aides to tell Robredo to cease attending his Cabinet meetings, prompting her to resign as housing minister, though she remained vice president.
Marcos has until July 14 to pay another 30 million pesos to complete recounting votes in more than 39,000 polling precincts nationwide.
He said
Marcos was ousted in protests in 1986 and died in Hawaii in 1989.