813264520 has 32 divisors (see below), whose sum is σ = 1874479320. Its totient is φ = 317370880.

The previous prime is 813264511. The next prime is 813264541. The reversal of 813264520 is 25462318.

It can be written as a sum of positive squares in 4 ways, for example, as 428241636 + 385022884 = 20694^2 + 19622^2 .

It is a super-2 number, since 2×813264520² = 1322798358981660800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246307 + ... + 249586.

Almost surely, 2^813264520 is an apocalyptic number.

It is an amenable number.

813264520 is an abundant number, since it is smaller than the sum of its proper divisors (1061214800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813264520 is a wasteful number, since it uses less digits than its factorization.

813264520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495945 (or 495941 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 813264520 is about 28517.7930422394. The cubic root of 813264520 is about 933.4203722683.

The spelling of 813264520 in words is "eight hundred thirteen million, two hundred sixty-four thousand, five hundred twenty".