125250125 has 108 divisors (see below), whose sum is σ = 216422388. Its totient is φ = 72072000.

The previous prime is 125250113. The next prime is 125250133. The reversal of 125250125 is 521052521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 88247236 + 37002889 = 9394^2 + 6083^2 .

It is not a de Polignac number, because 125250125 - 2⁶ = 125250061 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 125250125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9634619 + ... + 9634631.

It is an arithmetic number, because the mean of its divisors is an integer number (2003911).

Almost surely, 2^125250125 is an apocalyptic number.

It is an amenable number.

125250125 is a deficient number, since it is larger than the sum of its proper divisors (91172263).

125250125 is a wasteful number, since it uses less digits than its factorization.

125250125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 125250125 is about 11191.5202273864. The cubic root of 125250125 is about 500.3332778025. Note that the first 3 decimals are identical.

The spelling of 125250125 in words is "one hundred twenty-five million, two hundred fifty thousand, one hundred twenty-five".