513701225856 has 1536 divisors, whose sum is σ = 2096565120000. Its totient is φ = 120490426368.

The previous prime is 513701225833. The next prime is 513701225857. The reversal of 513701225856 is 658522107315.

513701225856 is a `hidden beast` number, since 5 + 1 + 370 + 1 + 225 + 8 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513701225857) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1320568510 + ... + 1320568898.

It is an arithmetic number, because the mean of its divisors is an integer number (1364951250).

Almost surely, 2^513701225856 is an apocalyptic number.

513701225856 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 513701225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048282560000).

513701225856 is an abundant number, since it is smaller than the sum of its proper divisors (1582863894144).

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

513701225856 is a wasteful number, since it uses less digits than its factorization.

513701225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 513701225856 in words is "five hundred thirteen billion, seven hundred one million, two hundred twenty-five thousand, eight hundred fifty-six".