513162120 has 64 divisors (see below), whose sum is σ = 1541229120. Its totient is φ = 136688384.

The previous prime is 513162071. The next prime is 513162137. The reversal of 513162120 is 21261315.

It is a super-2 number, since 2×513162120² = 526670722805788800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137722 + ... + 141398.

It is an arithmetic number, because the mean of its divisors is an integer number (24081705).

Almost surely, 2^513162120 is an apocalyptic number.

It is an amenable number.

513162120 is an abundant number, since it is smaller than the sum of its proper divisors (1028067000).

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

513162120 is a wasteful number, since it uses less digits than its factorization.

513162120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 513162120 is about 22653.0819095328. The cubic root of 513162120 is about 800.6048134689.

The spelling of 513162120 in words is "five hundred thirteen million, one hundred sixty-two thousand, one hundred twenty".