Saul = "desired"
1) the Jewish name of the apostle Paul
2) the son of Kish and the first king of Israel
Part of Speech: noun proper masculine
Of Hebrew origin [H7586]; Saul (that is, Shaul), the Jewish name of Paul: - Saul. Compare G4569.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root Σαούλ; click on the second column to search for that grammatical form of the root Σαούλ; click on the third column to search for that word and grammatical form; click on the total to search for the root Σαούλ.