Akkadian

paršumu - (II) to let live to old age, (II/4) to be blessed with old age (CAD P 206, AHw. 836)

Derived words: puršumtu ‘old woman’ (AHw. 881); puršumu ‘old man or woman; elder’ (CAD P 525, AHw. 881); puršumūtu, paršamūtu ‘office of the elder; old age’ (CAD P 526).
No reliable Semitic cognates detected.