513610664 has 32 divisors (see below), whose sum is σ = 1165337280. Its totient is φ = 207170304.

The previous prime is 513610661. The next prime is 513610709. The reversal of 513610664 is 466016315.

It is a self number, because there is not a number n which added to its sum of digits gives 513610664.

It is not an unprimeable number, because it can be changed into a prime (513610661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268802 + ... + 270705.

It is an arithmetic number, because the mean of its divisors is an integer number (36416790).

Almost surely, 2^513610664 is an apocalyptic number.

It is an amenable number.

513610664 is an abundant number, since it is smaller than the sum of its proper divisors (651726616).

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

513610664 is a wasteful number, since it uses less digits than its factorization.

513610664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539537 (or 539533 counting only the distinct ones).

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

The square root of 513610664 is about 22662.9800335260. The cubic root of 513610664 is about 800.8380093689.

Adding to 513610664 its reverse (466016315), we get a palindrome (979626979).

The spelling of 513610664 in words is "five hundred thirteen million, six hundred ten thousand, six hundred sixty-four".