The 2001 BMW 525i has 3 recalls, the most serious affecting vehicles where the original steering wheel was replaced with the optional sports steering wheel: the airbag inflator in that wheel can explode and send metal fragments into the cabin, potentially injuring or killing the driver or passengers.
The remaining two recalls describe the same cooling fan issue and should be treated as one problem. The engine's auxiliary cooling fan is electronically controlled, and the fan motor can fail in a way that overloads the fan control unit's circuitry, causing the fan to shut down entirely. With no fan running, the engine can overheat and sustain serious internal damage. This affects the cooling system's ability to manage heat at low speeds or when idling, where airflow through the grille alone is not enough to keep temperatures in check.