The insurance company providing cover for the property of the deceased needs to be notified. It is important to take careful note of any conditions imposed by them as a result of the policyholders death. Perhaps there are also conditions with unoccupied properties. It is quite usual for the insurance company to require regular property visits and the water supply drained down.
If there’s no insurance cover in place (or insufficient cover!), the executors must put adequate cover 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 should be made.
Remember to deal with any car insurance. If anyone was driving the deceased’s car with their consent, then that consent can no longer be given. As such the person driving without that consent no longer has insurance.
Further Reading: Wills and Estate Planning | Probate Forms