"The Uruguayan's three-year spell with the Reds concludes after he finalised a switch to the Saudi Pro League side today.
He scored 40 goals in 143 appearances for the Reds, but started just eight Premier League matches during their title-winning season last term.
Nunez was a target for another Saudi club, Al Nassr, in January, but a £60m bid was rejected as Liverpool did not want to sell in the middle of the season.
Magpies boss Eddie Howe confirmed on Friday that the wantaway Sweden striker is unlikely to feature in the opening game of the Premier League season at Aston Villa.
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