513122664 has 64 divisors (see below), whose sum is σ = 1393920000. Its totient is φ = 156807360.

The previous prime is 513122657. The next prime is 513122669. The reversal of 513122664 is 466221315.

It is not an unprimeable number, because it can be changed into a prime (513122669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014 + ... + 32285.

It is an arithmetic number, because the mean of its divisors is an integer number (21780000).

Almost surely, 2^513122664 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 513122664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960000).

513122664 is an abundant number, since it is smaller than the sum of its proper divisors (880797336).

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

513122664 is a wasteful number, since it uses less digits than its factorization.

513122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36358 (or 36354 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 513122664 is about 22652.2110179117. The cubic root of 513122664 is about 800.5842939801.

Adding to 513122664 its reverse (466221315), we get a palindrome (979343979).

The spelling of 513122664 in words is "five hundred thirteen million, one hundred twenty-two thousand, six hundred sixty-four".