323013452130625 has 135 divisors (see below), whose sum is σ = 430516807585821. Its totient is φ = 242241554880000.

The previous prime is 323013452130623. The next prime is 323013452130751. The reversal of 323013452130625 is 526031254310323.

The square root of 323013452130625 is 17972575.

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 305807514946609 + 17205937184016 = 17487353^2 + 4148004^2 .

It is not a de Polignac number, because 323013452130625 - 2¹ = 323013452130623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323013452130623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1340304780505 + ... + 1340304780745.

Almost surely, 2^{323013452130625} is an apocalyptic number.

323013452130625 is the 17972575-th square number.

323013452130625 is the 8986288-th centered octagonal number.

It is an amenable number.

323013452130625 is a deficient number, since it is larger than the sum of its proper divisors (107503355455196).

323013452130625 is an frugal number, since it uses more digits than its factorization.

323013452130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 323013452130625 in words is "three hundred twenty-three trillion, thirteen billion, four hundred fifty-two million, one hundred thirty thousand, six hundred twenty-five".