513065824 has 24 divisors (see below), whose sum is σ = 1011700368. Its totient is φ = 256126080.

The previous prime is 513065821. The next prime is 513065843. The reversal of 513065824 is 428560315.

It is a self number, because there is not a number n which added to its sum of digits gives 513065824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513065821) by changing a digit.

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, 8314 + ... + 33094.

It is an arithmetic number, because the mean of its divisors is an integer number (42154182).

Almost surely, 2^513065824 is an apocalyptic number.

It is an amenable number.

513065824 is a deficient number, since it is larger than the sum of its proper divisors (498634544).

513065824 is a wasteful number, since it uses less digits than its factorization.

513065824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25438 (or 25430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 513065824 is about 22650.9563595006. The cubic root of 513065824 is about 800.5547319184.

The spelling of 513065824 in words is "five hundred thirteen million, sixty-five thousand, eight hundred twenty-four".