513916032 has 64 divisors (see below), whose sum is σ = 1560110400. Its totient is φ = 146832384.

The previous prime is 513916027. The next prime is 513916061. The reversal of 513916032 is 230619315.

It is a tau number, because it is divible by the number of its divisors (64).

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, 92907 + ... + 98282.

It is an arithmetic number, because the mean of its divisors is an integer number (24376725).

Almost surely, 2^513916032 is an apocalyptic number.

It is an amenable number.

513916032 is an abundant number, since it is smaller than the sum of its proper divisors (1046194368).

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

513916032 is a wasteful number, since it uses less digits than its factorization.

513916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191213 (or 191201 counting only the distinct ones).

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

The square root of 513916032 is about 22669.7161870192. The cubic root of 513916032 is about 800.9966910763.

The spelling of 513916032 in words is "five hundred thirteen million, nine hundred sixteen thousand, thirty-two".