521464101464125 has 16 divisors (see below), whose sum is σ = 671780334071808. Its totient is φ = 403714143066000.

The previous prime is 521464101464107. The next prime is 521464101464143.

521464101464125 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (521464101464107) and next prime (521464101464143).

It is not a de Polignac number, because 521464101464125 - 2³¹ = 521461953980477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67285686637 + ... + 67285694386.

It is an arithmetic number, because the mean of its divisors is an integer number (41986270879488).

Almost surely, 2^{521464101464125} is an apocalyptic number.

It is an amenable number.

521464101464125 is a deficient number, since it is larger than the sum of its proper divisors (150316232607683).

521464101464125 is a wasteful number, since it uses less digits than its factorization.

521464101464125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134571381069 (or 134571381059 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 521464101464125 in words is "five hundred twenty-one trillion, four hundred sixty-four billion, one hundred one million, four hundred sixty-four thousand, one hundred twenty-five".