125091 has 16 divisors (see below), whose sum is σ = 191520. Its totient is φ = 80640.

The previous prime is 125063. The next prime is 125093. The reversal of 125091 is 190521.

It is not a de Polignac number, because 125091 - 2¹⁰ = 124067 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125091.

It is not an unprimeable number, because it can be changed into a prime (125093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

125091 is a Friedman number, since it can be written as 91+50^(2+1), using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁹¹ is an apocalyptic number.

125091 is a deficient number, since it is larger than the sum of its proper divisors (66429).

125091 is a wasteful number, since it uses less digits than its factorization.

125091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 125091 is about 353.6820606138. The cubic root of 125091 is about 50.0121303902.

The spelling of 125091 in words is "one hundred twenty-five thousand, ninety-one".