513525466431 has 12 divisors (see below), whose sum is σ = 746200679952. Its totient is φ = 340300308096.

The previous prime is 513525466427. The next prime is 513525466471. The reversal of 513525466431 is 134664525315.

It is a happy number.

513525466431 is a `hidden beast` number, since 5 + 13 + 5 + 2 + 546 + 64 + 31 = 666.

It is not a de Polignac number, because 513525466431 - 2² = 513525466427 is a prime.

It is a super-2 number, since 2×513525466431² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513525466471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170831986 + ... + 170834991.

It is an arithmetic number, because the mean of its divisors is an integer number (62183389996).

Almost surely, 2^513525466431 is an apocalyptic number.

513525466431 is a deficient number, since it is larger than the sum of its proper divisors (232675213521).

513525466431 is a wasteful number, since it uses less digits than its factorization.

513525466431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341667150 (or 341667147 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 513525466431 in words is "five hundred thirteen billion, five hundred twenty-five million, four hundred sixty-six thousand, four hundred thirty-one".