513402053256 has 24 divisors (see below), whose sum is σ = 1390463894430. Its totient is φ = 171134017728.

The previous prime is 513402053251. The next prime is 513402053261. The reversal of 513402053256 is 652350204315.

513402053256 is a `hidden beast` number, since 5 + 13 + 40 + 20 + 532 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (513402053251) and next prime (513402053261).

It can be written as a sum of positive squares in only one way, i.e., 472422528900 + 40979524356 = 687330^2 + 202434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513402053256.

It is not an unprimeable number, because it can be changed into a prime (513402053251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3565291965 + ... + 3565292108.

Almost surely, 2^513402053256 is an apocalyptic number.

It is an amenable number.

513402053256 is an abundant number, since it is smaller than the sum of its proper divisors (877061841174).

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

513402053256 is a wasteful number, since it uses less digits than its factorization.

513402053256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130584085 (or 7130584078 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 513402053256 in words is "five hundred thirteen billion, four hundred two million, fifty-three thousand, two hundred fifty-six".