313975312225 has 9 divisors (see below), whose sum is σ = 389332861267. Its totient is φ = 251178008440.

The previous prime is 313975312181. The next prime is 313975312241. The reversal of 313975312225 is 522213579313.

The square root of 313975312225 is 560335.

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

It can be written as a sum of positive squares in only one way, i.e., 113031112401 + 200944199824 = 336201^2 + 448268^2 .

It is not a de Polignac number, because 313975312225 - 2¹³ = 313975304033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2745642 + ... + 2857708.

Almost surely, 2^313975312225 is an apocalyptic number.

313975312225 is the 560335-th square number.

313975312225 is the 280168-th centered octagonal number.

It is an amenable number.

313975312225 is a deficient number, since it is larger than the sum of its proper divisors (75357549042).

313975312225 is an frugal number, since it uses more digits than its factorization.

313975312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224144 (or 112072 counting only the distinct ones).

The product of its digits is 340200, while the sum is 43.

The spelling of 313975312225 in words is "three hundred thirteen billion, nine hundred seventy-five million, three hundred twelve thousand, two hundred twenty-five".