W140 Cold-empty speed

Does anyone have any idea how high the cold-empty speed of the W140 S500 should be? Do my car always have to stand in the garage, but last night outside at icy temperatures. When I started the engine, the cold-empty speed was about 1500-1600 rpm, which seemed pretty high to me. Is the normal or should it be a lower speed if yes, HOW, WO, and with WHAT can this be regulated? Thanks for information.