513416960 has 72 divisors (see below), whose sum is σ = 1405503456. Its totient is φ = 176025600.

The previous prime is 513416941. The next prime is 513416987. The reversal of 513416960 is 69614315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 513416960.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19691 + ... + 37610.

Almost surely, 2^513416960 is an apocalyptic number.

It is an amenable number.

513416960 is an abundant number, since it is smaller than the sum of its proper divisors (892086496).

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

513416960 is an equidigital number, since it uses as much as digits as its factorization.

513416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57329 (or 57315 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 513416960 is about 22658.7060530826. The cubic root of 513416960 is about 800.7373202398.

The spelling of 513416960 in words is "five hundred thirteen million, four hundred sixteen thousand, nine hundred sixty".