125757521 has 2 divisors, whose sum is σ = 125757522. Its totient is φ = 125757520.

The previous prime is 125757479. The next prime is 125757529.

125757521 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93993025 + 31764496 = 9695^2 + 5636^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 125757521 - 2²² = 121563217 is a prime.

It is not a weakly prime, because it can be changed into another prime (125757529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62878760 + 62878761.

It is an arithmetic number, because the mean of its divisors is an integer number (62878761).

Almost surely, 2^125757521 is an apocalyptic number.

It is an amenable number.

125757521 is a deficient number, since it is larger than the sum of its proper divisors (1).

125757521 is an equidigital number, since it uses as much as digits as its factorization.

125757521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24500, while the sum is 35.

The square root of 125757521 is about 11214.1660858042. The cubic root of 125757521 is about 501.0079945285.

The spelling of 125757521 in words is "one hundred twenty-five million, seven hundred fifty-seven thousand, five hundred twenty-one".