521023212513 has 64 divisors (see below), whose sum is σ = 797129184000. Its totient is φ = 336188579328.

The previous prime is 521023212469. The next prime is 521023212583. The reversal of 521023212513 is 315212320125.

521023212513 is a `hidden beast` number, since 5 + 2 + 102 + 32 + 12 + 513 = 666.

It is not a de Polignac number, because 521023212513 - 2⁸ = 521023212257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (521023212583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71281503 + ... + 71288811.

It is an arithmetic number, because the mean of its divisors is an integer number (12455143500).

Almost surely, 2^521023212513 is an apocalyptic number.

It is an amenable number.

521023212513 is a deficient number, since it is larger than the sum of its proper divisors (276105971487).

521023212513 is a wasteful number, since it uses less digits than its factorization.

521023212513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 521023212513 its reverse (315212320125), we get a palindrome (836235532638).

The spelling of 521023212513 in words is "five hundred twenty-one billion, twenty-three million, two hundred twelve thousand, five hundred thirteen".