125141525 has 24 divisors (see below), whose sum is σ = 162210600. Its totient is φ = 95648000.

The previous prime is 125141503. The next prime is 125141557. The reversal of 125141525 is 525141521.

It can be written as a sum of positive squares in 12 ways, for example, as 18783556 + 106357969 = 4334^2 + 10313^2 .

It is not a de Polignac number, because 125141525 - 2²⁰ = 124092949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125141494 and 125141503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72371 + ... + 74079.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^125141525 is an apocalyptic number.

It is an amenable number.

125141525 is a deficient number, since it is larger than the sum of its proper divisors (37069075).

125141525 is a wasteful number, since it uses less digits than its factorization.

125141525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1844 counting only the distinct ones).

The product of its digits is 2000, while the sum is 26.

The square root of 125141525 is about 11186.6672874454. The cubic root of 125141525 is about 500.1886288294.

The spelling of 125141525 in words is "one hundred twenty-five million, one hundred forty-one thousand, five hundred twenty-five".