513431152025521 has 4 divisors (see below), whose sum is σ = 535754245591872. Its totient is φ = 491108058459172.

The previous prime is 513431152025417. The next prime is 513431152025543. The reversal of 513431152025521 is 125520251134315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513431152025521 - 2³⁹ = 512881396211633 is a prime.

It is a super-2 number, since 2×513431152025521² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513431152025021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11161546783141 + ... + 11161546783186.

It is an arithmetic number, because the mean of its divisors is an integer number (133938561397968).

Almost surely, 2^{513431152025521} is an apocalyptic number.

It is an amenable number.

513431152025521 is a deficient number, since it is larger than the sum of its proper divisors (22323093566351).

513431152025521 is a wasteful number, since it uses less digits than its factorization.

513431152025521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323093566350.

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 513431152025521 in words is "five hundred thirteen trillion, four hundred thirty-one billion, one hundred fifty-two million, twenty-five thousand, five hundred twenty-one".