125754525 has 120 divisors (see below), whose sum is σ = 266561064. Its totient is φ = 58060800.

The previous prime is 125754509. The next prime is 125754529. The reversal of 125754525 is 525457521.

125754525 is a `hidden beast` number, since 125 + 7 + 5 + 4 + 525 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28100601 + 97653924 = 5301^2 + 9882^2 .

It is not a de Polignac number, because 125754525 - 2⁴ = 125754509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125754525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125754529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447385 + ... + 447665.

Almost surely, 2^125754525 is an apocalyptic number.

125754525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125754525 is an abundant number, since it is smaller than the sum of its proper divisors (140806539).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125754525 is a wasteful number, since it uses less digits than its factorization.

125754525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its digits is 70000, while the sum is 36.

The square root of 125754525 is about 11214.0325039657. The cubic root of 125754525 is about 501.0040158881.

The spelling of 125754525 in words is "one hundred twenty-five million, seven hundred fifty-four thousand, five hundred twenty-five".