The insurance company providing cover for the property of the deceased will need to be notified. It is important to take careful note of any conditions imposed by them as a result of the death of the policyholder and perhaps the property being unoccupied. It is quite usual for the insurance company to require the property to be visited regularly and the water supply being drained down.
If there is no insurance cover in place (or insufficient cover!) the executors need to make sure cover is put in place.
It is worth remembering that if premiums were being paid by direct debit or credit card instalments this will stop when the bank is notified of the death. Alternative payment arrangements will need to be made.
Remember also to deal with any car insurance and if anyone was driving the deceased’s car with their consent then that consent can no longer be given and the person driving without that consent would be uninsured.