125323121323521 has 36 divisors (see below), whose sum is σ = 198981720042196. Its totient is φ = 75950807232960.

The previous prime is 125323121323453. The next prime is 125323121323523.

125323121323521 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 3 + 121 + 3 + 2 + 3 + 521 = 666.

125323121323521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 114165784455921 + 11157336867600 = 10684839^2 + 3340260^2 .

It is not a de Polignac number, because 125323121323521 - 2¹⁵ = 125323121290753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125323121323523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30102195 + ... + 34011591.

Almost surely, 2^{125323121323521} is an apocalyptic number.

125323121323521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125323121323521 is a deficient number, since it is larger than the sum of its proper divisors (73658598718675).

125323121323521 is a wasteful number, since it uses less digits than its factorization.

125323121323521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938862 (or 3938848 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 125323121323521 in words is "one hundred twenty-five trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-three thousand, five hundred twenty-one".