523023320325 has 96 divisors (see below), whose sum is σ = 995161305600. Its totient is φ = 239715936000.

The previous prime is 523023320311. The next prime is 523023320353.

523023320325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523023320325 - 2¹¹ = 523023318277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 523023320292 and 523023320301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7189986 + ... + 7262364.

It is an arithmetic number, because the mean of its divisors is an integer number (10366263600).

Almost surely, 2^523023320325 is an apocalyptic number.

523023320325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523023320325 is a deficient number, since it is larger than the sum of its proper divisors (472137985275).

523023320325 is a wasteful number, since it uses less digits than its factorization.

523023320325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72883 (or 72878 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 523023 and 320325, that added together give a palindrome (843348).

The spelling of 523023320325 in words is "five hundred twenty-three billion, twenty-three million, three hundred twenty thousand, three hundred twenty-five".