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The visit, in the coming days, comes before he travels to London on March 7 and the United States, Riyadh's closest Western ally, on March 19.
Bin Salman purged the Gulf Arab kingdom's economic and political elite in a crackdown on corruption last year, after becoming crown prince in June.
Riyadh counts Cairo among its Arab allies. Egypt supports it in a war against Iran-backed Houthi militants in Yemen and joined a trade and diplomatic boycott of Gulf state Qatar last year.
A Saudi government spokesman did not immediately respond to requests for comment on the Egypt visit. The Egyptian official gave no further details.