331728153326257 has 2 divisors, whose sum is σ = 331728153326258. Its totient is φ = 331728153326256.

The previous prime is 331728153326161. The next prime is 331728153326261. The reversal of 331728153326257 is 752623351827133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215499141052321 + 116229012273936 = 14679889^2 + 10780956^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331728153326257 is a prime.

It is a super-2 number, since 2×331728153326257² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331728153326287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165864076663128 + 165864076663129.

It is an arithmetic number, because the mean of its divisors is an integer number (165864076663129).

Almost surely, 2^{331728153326257} is an apocalyptic number.

It is an amenable number.

331728153326257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331728153326257 is an equidigital number, since it uses as much as digits as its factorization.

331728153326257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38102400, while the sum is 58.

The spelling of 331728153326257 in words is "three hundred thirty-one trillion, seven hundred twenty-eight billion, one hundred fifty-three million, three hundred twenty-six thousand, two hundred fifty-seven".