523889988325 has 72 divisors (see below), whose sum is σ = 720865814760. Its totient is φ = 377391168000.

The previous prime is 523889988299. The next prime is 523889988361.

523889988325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 499122468196 + 24767520129 = 706486^2 + 157377^2 .

It is not a de Polignac number, because 523889988325 - 2⁷ = 523889988197 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 147282447 + ... + 147286003.

It is an arithmetic number, because the mean of its divisors is an integer number (10012025205).

Almost surely, 2^523889988325 is an apocalyptic number.

523889988325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523889988325 is a deficient number, since it is larger than the sum of its proper divisors (196975826435).

523889988325 is a wasteful number, since it uses less digits than its factorization.

523889988325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4023 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 70.

The spelling of 523889988325 in words is "five hundred twenty-three billion, eight hundred eighty-nine million, nine hundred eighty-eight thousand, three hundred twenty-five".