513309920256 has 704 divisors, whose sum is σ = 1805133030400. Its totient is φ = 141033996288.

The previous prime is 513309920113. The next prime is 513309920269. The reversal of 513309920256 is 652029903315.

513309920256 is a `hidden beast` number, since 5 + 1 + 3 + 309 + 92 + 0 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694600335 + ... + 694601073.

Almost surely, 2^513309920256 is an apocalyptic number.

513309920256 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 513309920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902566515200).

513309920256 is an abundant number, since it is smaller than the sum of its proper divisors (1291823110144).

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

513309920256 is a wasteful number, since it uses less digits than its factorization.

513309920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 513309920256 in words is "five hundred thirteen billion, three hundred nine million, nine hundred twenty thousand, two hundred fifty-six".