317664505466713 has 2 divisors, whose sum is σ = 317664505466714. Its totient is φ = 317664505466712.

The previous prime is 317664505466689. The next prime is 317664505466779.

317664505466713 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304390411516944 + 13274093949769 = 17446788^2 + 3643363^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-317664505466713 is a prime.

It is a super-2 number, since 2×317664505466713² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (317664505436713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158832252733356 + 158832252733357.

It is an arithmetic number, because the mean of its divisors is an integer number (158832252733357).

Almost surely, 2^{317664505466713} is an apocalyptic number.

It is an amenable number.

317664505466713 is a deficient number, since it is larger than the sum of its proper divisors (1).

317664505466713 is an equidigital number, since it uses as much as digits as its factorization.

317664505466713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 228614400, while the sum is 64.

The spelling of 317664505466713 in words is "three hundred seventeen trillion, six hundred sixty-four billion, five hundred five million, four hundred sixty-six thousand, seven hundred thirteen".