523102303201325 has 96 divisors (see below), whose sum is σ = 694264745355264. Its totient is φ = 389597483658240.

The previous prime is 523102303201301. The next prime is 523102303201343.

523102303201325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523102303201325 - 2¹⁴ = 523102303184941 is a prime.

It is a super-2 number, since 2×523102303201325² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 523102303201291 and 523102303201300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112664719454 + ... + 112664724096.

It is an arithmetic number, because the mean of its divisors is an integer number (7231924430784).

Almost surely, 2^{523102303201325} is an apocalyptic number.

It is an amenable number.

523102303201325 is a deficient number, since it is larger than the sum of its proper divisors (171162442153939).

523102303201325 is a wasteful number, since it uses less digits than its factorization.

523102303201325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 52310230 and 3201325, that added together give a palindrome (55511555).

The spelling of 523102303201325 in words is "five hundred twenty-three trillion, one hundred two billion, three hundred three million, two hundred one thousand, three hundred twenty-five".