513828320 has 24 divisors (see below), whose sum is σ = 1213919784. Its totient is φ = 205531264.

The previous prime is 513828313. The next prime is 513828331. The reversal of 513828320 is 23828315.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 1605554 + ... + 1605873.

It is an arithmetic number, because the mean of its divisors is an integer number (50579991).

Almost surely, 2^513828320 is an apocalyptic number.

It is an amenable number.

513828320 is an abundant number, since it is smaller than the sum of its proper divisors (700091464).

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

513828320 is a wasteful number, since it uses less digits than its factorization.

513828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211442 (or 3211434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 513828320 is about 22667.7815412095. The cubic root of 513828320 is about 800.9511187682.

The spelling of 513828320 in words is "five hundred thirteen million, eight hundred twenty-eight thousand, three hundred twenty".