317952760129 has 27 divisors (see below), whose sum is σ = 346623382651. Its totient is φ = 291590005760.

The previous prime is 317952760123. The next prime is 317952760133. The reversal of 317952760129 is 921067259713.

The square root of 317952760129 is 563873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107961530625 + 209991229504 = 328575^2 + 458248^2 .

It is not a de Polignac number, because 317952760129 - 2⁷ = 317952760001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317952760123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 393019077 + ... + 393019885.

Almost surely, 2^317952760129 is an apocalyptic number.

317952760129 is the 563873-rd square number.

317952760129 is the 281937-th centered octagonal number.

It is an amenable number.

317952760129 is a deficient number, since it is larger than the sum of its proper divisors (28670622522).

317952760129 is an frugal number, since it uses more digits than its factorization.

317952760129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 317952760129 in words is "three hundred seventeen billion, nine hundred fifty-two million, seven hundred sixty thousand, one hundred twenty-nine".