513072464 has 40 divisors (see below), whose sum is σ = 1013316840. Its totient is φ = 251596800.

The previous prime is 513072457. The next prime is 513072499. The reversal of 513072464 is 464270315.

It can be written as a sum of positive squares in 4 ways, for example, as 7182400 + 505890064 = 2680^2 + 22492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513072464.

It is a congruent number.

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, 507992 + ... + 509000.

It is an arithmetic number, because the mean of its divisors is an integer number (25332921).

Almost surely, 2^513072464 is an apocalyptic number.

It is an amenable number.

513072464 is a deficient number, since it is larger than the sum of its proper divisors (500244376).

513072464 is a wasteful number, since it uses less digits than its factorization.

513072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 513072464 is about 22651.1029312040. The cubic root of 513072464 is about 800.5581854457.

The spelling of 513072464 in words is "five hundred thirteen million, seventy-two thousand, four hundred sixty-four".