513961320 has 64 divisors (see below), whose sum is σ = 1545480000. Its totient is φ = 136736768.

The previous prime is 513961319. The next prime is 513961367. The reversal of 513961320 is 23169315.

It is a super-2 number, since 2×513961320² = 528312476912284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49111 + ... + 58649.

It is an arithmetic number, because the mean of its divisors is an integer number (24148125).

Almost surely, 2^513961320 is an apocalyptic number.

It is an amenable number.

513961320 is an abundant number, since it is smaller than the sum of its proper divisors (1031518680).

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

513961320 is a wasteful number, since it uses less digits than its factorization.

513961320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9998 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 513961320 is about 22670.7150306293. The cubic root of 513961320 is about 801.0202192212.

The spelling of 513961320 in words is "five hundred thirteen million, nine hundred sixty-one thousand, three hundred twenty".