125767521 has 24 divisors (see below), whose sum is σ = 199836000. Its totient is φ = 76215480.

The previous prime is 125767511. The next prime is 125767529.

125767521 is a `hidden beast` number, since 12 + 576 + 75 + 2 + 1 = 666.

125767521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125767521 - 2⁵ = 125767489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125767529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6730 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (8326500).

Almost surely, 2^125767521 is an apocalyptic number.

125767521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125767521 is a deficient number, since it is larger than the sum of its proper divisors (74068479).

125767521 is a wasteful number, since it uses less digits than its factorization.

125767521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10513 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 125767521 is about 11214.6119415698. The cubic root of 125767521 is about 501.0212739123.

The spelling of 125767521 in words is "one hundred twenty-five million, seven hundred sixty-seven thousand, five hundred twenty-one".