313315525 has 24 divisors (see below), whose sum is σ = 413739144. Its totient is φ = 234547200.

The previous prime is 313315523. The next prime is 313315537. The reversal of 313315525 is 525513313.

It can be written as a sum of positive squares in 12 ways, for example, as 208109476 + 105206049 = 14426^2 + 10257^2 .

It is not a de Polignac number, because 313315525 - 2¹ = 313315523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313315493 and 313315502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313315523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74889 + ... + 78961.

It is an arithmetic number, because the mean of its divisors is an integer number (17239131).

Almost surely, 2^313315525 is an apocalyptic number.

It is an amenable number.

313315525 is a deficient number, since it is larger than the sum of its proper divisors (100423619).

313315525 is a wasteful number, since it uses less digits than its factorization.

313315525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4276 counting only the distinct ones).

The product of its digits is 6750, while the sum is 28.

The square root of 313315525 is about 17700.7210305117. The cubic root of 313315525 is about 679.1942048293.

Adding to 313315525 its reverse (525513313), we get a palindrome (838828838).

It can be divided in two parts, 31331 and 5525, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 313315525 in words is "three hundred thirteen million, three hundred fifteen thousand, five hundred twenty-five".