513322304 has 112 divisors (see below), whose sum is σ = 1175894016. Its totient is φ = 220147200.

The previous prime is 513322289. The next prime is 513322307. The reversal of 513322304 is 403223315.

It is a self number, because there is not a number n which added to its sum of digits gives 513322304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513322307) 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 15 ways as a sum of consecutive naturals, for example, 938159 + ... + 938705.

Almost surely, 2^513322304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587947008).

513322304 is an abundant number, since it is smaller than the sum of its proper divisors (662571712).

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

513322304 is a wasteful number, since it uses less digits than its factorization.

513322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 513322304 is about 22656.6172232308. The cubic root of 513322304 is about 800.6881079646.

Adding to 513322304 its reverse (403223315), we get a palindrome (916545619).

The spelling of 513322304 in words is "five hundred thirteen million, three hundred twenty-two thousand, three hundred four".