317222400625 has 45 divisors (see below), whose sum is σ = 429486902229. Its totient is φ = 234121368000.

The previous prime is 317222400623. The next prime is 317222400641. The reversal of 317222400625 is 526004222713.

The square root of 317222400625 is 563225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 176044858929 + 141177541696 = 419577^2 + 375736^2 .

It is not a de Polignac number, because 317222400625 - 2¹ = 317222400623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317222400623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 183047259 + ... + 183048991.

Almost surely, 2^317222400625 is an apocalyptic number.

317222400625 is the 563225-th square number.

317222400625 is the 281613-rd centered octagonal number.

It is an amenable number.

317222400625 is a deficient number, since it is larger than the sum of its proper divisors (112264501604).

317222400625 is an frugal number, since it uses more digits than its factorization.

317222400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 317222400625 in words is "three hundred seventeen billion, two hundred twenty-two million, four hundred thousand, six hundred twenty-five".