513364656 has 80 divisors (see below), whose sum is σ = 1518545664. Its totient is φ = 146395392.

The previous prime is 513364633. The next prime is 513364693. The reversal of 513364656 is 656463315.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228370 + ... + 230606.

Almost surely, 2^513364656 is an apocalyptic number.

513364656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759272832).

513364656 is an abundant number, since it is smaller than the sum of its proper divisors (1005181008).

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

513364656 is a wasteful number, since it uses less digits than its factorization.

513364656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2932 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 513364656 is about 22657.5518536315. The cubic root of 513364656 is about 800.7101277950.

The spelling of 513364656 in words is "five hundred thirteen million, three hundred sixty-four thousand, six hundred fifty-six".