257537217353017 has 6 divisors (see below), whose sum is σ = 299584109982138. Its totient is φ = 220746186302544.

The previous prime is 257537217352991. The next prime is 257537217353029. The reversal of 257537217353017 is 710353712735752.

It can be written as a sum of positive squares in only one way, i.e., 133440825652281 + 124096391700736 = 11551659^2 + 11139856^2 .

It is a de Polignac number, because none of the positive numbers 2^k-257537217353017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257537217323017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2627930789268 + ... + 2627930789365.

It is an arithmetic number, because the mean of its divisors is an integer number (49930684997023).

Almost surely, 2^{257537217353017} is an apocalyptic number.

It is an amenable number.

257537217353017 is a deficient number, since it is larger than the sum of its proper divisors (42046892629121).

257537217353017 is an equidigital number, since it uses as much as digits as its factorization.

257537217353017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255861578647 (or 5255861578640 counting only the distinct ones).

The product of its (nonzero) digits is 32413500, while the sum is 58.

The spelling of 257537217353017 in words is "two hundred fifty-seven trillion, five hundred thirty-seven billion, two hundred seventeen million, three hundred fifty-three thousand, seventeen".