523355363553325 has 48 divisors (see below), whose sum is σ = 673515524296656. Its totient is φ = 403214411980800.

The previous prime is 523355363553283. The next prime is 523355363553331.

523355363553325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 465686861688841 + 57668501864484 = 21579779^2 + 7593978^2 .

It is a de Polignac number, because none of the positive numbers 2^k-523355363553325 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 523355363553325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905952 + ... + 32409001.

It is an arithmetic number, because the mean of its divisors is an integer number (14031573422847).

Almost surely, 2^{523355363553325} is an apocalyptic number.

It is an amenable number.

523355363553325 is a deficient number, since it is larger than the sum of its proper divisors (150160160743331).

523355363553325 is a wasteful number, since it uses less digits than its factorization.

523355363553325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34315234 (or 34315229 counting only the distinct ones).

The product of its digits is 273375000, while the sum is 58.

The spelling of 523355363553325 in words is "five hundred twenty-three trillion, three hundred fifty-five billion, three hundred sixty-three million, five hundred fifty-three thousand, three hundred twenty-five".