I think it's X3 E83 LCI steering wheel. It should work on E53. If you want to make heating working if you originally don't have it you have to change the slipring and wire the supply.

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E39 530dA -02 M-Sport Messing metallic
E53 X5 3.0dA -06 Sport Stratus grey
E70 X5 40d -12 M-Sport Space grey