513431152025523 has 32 divisors (see below), whose sum is σ = 695102846000640. Its totient is φ = 337028030254080.

The previous prime is 513431152025417. The next prime is 513431152025543. The reversal of 513431152025523 is 325520251134315.

It is not a de Polignac number, because 513431152025523 - 2²² = 513431147831219 is a prime.

It is a super-2 number, since 2×513431152025523² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513431152025543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10824777618 + ... + 10824825048.

It is an arithmetic number, because the mean of its divisors is an integer number (21721963937520).

Almost surely, 2^{513431152025523} is an apocalyptic number.

513431152025523 is a deficient number, since it is larger than the sum of its proper divisors (181671693975117).

513431152025523 is a wasteful number, since it uses less digits than its factorization.

513431152025523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70427.

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 513431152025523 in words is "five hundred thirteen trillion, four hundred thirty-one billion, one hundred fifty-two million, twenty-five thousand, five hundred twenty-three".