513825469056 has 64 divisors (see below), whose sum is σ = 1516498790400. Its totient is φ = 171275155200.

The previous prime is 513825469051. The next prime is 513825469057. The reversal of 513825469056 is 650964528315.

513825469056 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 2 + 546 + 90 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×513825469056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 513825468993 and 513825469011.

It is not an unprimeable number, because it can be changed into a prime (513825469051) 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 7 ways as a sum of consecutive naturals, for example, 74334720 + ... + 74341631.

It is an arithmetic number, because the mean of its divisors is an integer number (23695293600).

Almost surely, 2^513825469056 is an apocalyptic number.

It is an amenable number.

513825469056 is an abundant number, since it is smaller than the sum of its proper divisors (1002673321344).

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

513825469056 is a wasteful number, since it uses less digits than its factorization.

513825469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148676374 (or 148676356 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 513825469056 in words is "five hundred thirteen billion, eight hundred twenty-five million, four hundred sixty-nine thousand, fifty-six".