In the Achaemenid Period, there was no single Persian word for Mesopotamia, at least in the beginning. Northern Mesopotamia was called Athura, "Assyria" and southern Mesopotamia was called Babirush, "Babylonia". In 482 BC, Babylon revolted from king Xerxes. At the end of the revolt, Babylonia lost its status as a satrapy and was incorporated into Assyria. Mesopotamia became administratively, the satrapy of Assyria, for some years thereafter. By 448, we read of a restored satrapy of Babylonia.
At least in the earliest years of the Sassanid Period, we know of Persian shahrs of Mesan (Babylonia), Asoristan (southern Assyria), and Nodsiragan (Adiabene, or northern Assyria).