One problem related to water pump has been reported for the 2013 BMW 535. The most recently reported issues are listed below.
Thermostat & water pumps fail on these vehicles prematurely. Many owners are blogging online that these vehicles have early (and frequent) failures with thermostats & water pumps. These failures lead to the vehicle forcing you quickly to slow down and pull over(limp mode) - sometimes not in the most forgiving locations. In addition, the failure of these components may be the root cause of other engine components failing - at an extreme, unnecessary expense to the owners. This occurs while the vehicle is in motion. The vehicle's "safety" system forces the vehicle to decelerate until you bring the vehicle to a stop. This can occur on the freeway (even a freeway in los angeles where you may be in the 8th lane to the left with no emergency lane to your left). The manufacturer should be held responsible to recall/update/replace these faulty components on all 5 series models from 2004 - 2013(at least 2 different models in this year range).