My 2006 X5 M54 with ~ 143K miles.

- I last replaced the REAR washer pump around 2023 using a junk yard Genuine BMW part.
It failed again. So another jy washer pump goes in. So, my theory is non-use (I rarely use
the REAR washer) causes the motor to seize. Once removed from the car, I applied 12V to it,
I heard a "zzzz" but no running, so likely seized.

- Anyway, you should "exercise" the REAR washer pump intermittently. Maybe a few times in
the summer and a few times in the winter. Just so it does not seize.

- The Intensive HL washer pump: I removed the fuse some 10 years ago as mentioned above.
I don't miss it.

- The 2 washer pumps for both front and rear glasses are the same:
BMW 67128362154 or VDO 246082008025Z, about $15-$20 online.

Photo to show where they are located in case you want to know which is front or rear washer pump...

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1998 E39 528i 5sp MT
2006 E53 X5 3.0 6sp MT