125101521 has 24 divisors (see below), whose sum is σ = 191776104. Its totient is φ = 78312960.

The previous prime is 125101519. The next prime is 125101553.

125101521 is a `hidden beast` number, since 1 + 2 + 510 + 152 + 1 = 666.

125101521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 68310225 + 56791296 = 8265^2 + 7536^2 .

It is not a de Polignac number, because 125101521 - 2¹ = 125101519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125101494 and 125101503.

It is not an unprimeable number, because it can be changed into a prime (125101591) 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, 100515 + ... + 101751.

It is an arithmetic number, because the mean of its divisors is an integer number (7990671).

Almost surely, 2^125101521 is an apocalyptic number.

It is an amenable number.

125101521 is a deficient number, since it is larger than the sum of its proper divisors (66674583).

125101521 is a wasteful number, since it uses less digits than its factorization.

125101521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 125101521 is about 11184.8791231734. The cubic root of 125101521 is about 500.1353247045.

The spelling of 125101521 in words is "one hundred twenty-five million, one hundred one thousand, five hundred twenty-one".