Ripe papayas should be firm. A few black or moldy spots, as long as they are not holes or bruises, will not affect the fruit.
Leave the fruit outside of the refrigerator for a few days to ripen. You can place it in a paper bag to speed up the process. Refrigerate the papaya once it is ripe to keep it for longer.
Quick fact: The fruit has a rich source of fiber and aides digestion!