513601664 has 32 divisors (see below), whose sum is σ = 1030587600. Its totient is φ = 254944512.

The previous prime is 513601631. The next prime is 513601681. The reversal of 513601664 is 466106315.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a self number, because there is not a number n which added to its sum of digits gives 513601664.

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, 3359 + ... + 32225.

Almost surely, 2^513601664 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 513601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515293800).

513601664 is an abundant number, since it is smaller than the sum of its proper divisors (516985936).

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

513601664 is a wasteful number, since it uses less digits than its factorization.

513601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29020 (or 29008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 513601664 is about 22662.7814709492. The cubic root of 513601664 is about 800.8333316466.

Adding to 513601664 its reverse (466106315), we get a palindrome (979707979).

The spelling of 513601664 in words is "five hundred thirteen million, six hundred one thousand, six hundred sixty-four".