Fifty seven (57)
1. It is a 20 gonal number.
2. It can be expressed as the sum of -- x^y + y^x where x and y are integers.
2^5 + 5^2 = 57
3. It is the sum of digits from 7 up to 12.
7 + 8 + 9 + 10 + 11 + 12 = 57
4. It is the product of two primes.
57 = 3 x 19
5. On base 7 it is a repeated digit.
57 = (111)7
Dr Rajesh Kumar Thakur
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