How much time do i have, to move out, after my grandmother passes away? I've lived here 5 years. I believe the house had been mortgaged.

Start looking.  It is the duty of the executor or administrator settling her estate to gather her assets, pay her debts and distribute the rest according to her Will or, if there is no Will, you state's heirship laws.  Unless you are the sole beneficiary under the Will or the sole heir and there is no debt which must be paid by selling the house, the person settling your grandmother's estate is legally obligated to evict you.