125525435121 has 24 divisors (see below), whose sum is σ = 182519101440. Its totient is φ = 83128891200.

The previous prime is 125525435081. The next prime is 125525435141. The reversal of 125525435121 is 121534525521.

125525435121 is a `hidden beast` number, since 1 + 2 + 5 + 525 + 4 + 3 + 5 + 121 = 666.

It is not a de Polignac number, because 125525435121 - 2¹⁸ = 125525172977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125525435141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185181 + ... + 1286741.

It is an arithmetic number, because the mean of its divisors is an integer number (7604962560).

Almost surely, 2^125525435121 is an apocalyptic number.

It is an amenable number.

125525435121 is a deficient number, since it is larger than the sum of its proper divisors (56993666319).

125525435121 is a wasteful number, since it uses less digits than its factorization.

125525435121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102477 (or 102474 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 125525435121 in words is "one hundred twenty-five billion, five hundred twenty-five million, four hundred thirty-five thousand, one hundred twenty-one".