125626521 has 16 divisors (see below), whose sum is σ = 177312960. Its totient is φ = 78980160.

The previous prime is 125626493. The next prime is 125626531.

125626521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125626521 - 2¹⁷ = 125495449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125626531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13050 + ... + 20531.

It is an arithmetic number, because the mean of its divisors is an integer number (11082060).

Almost surely, 2^125626521 is an apocalyptic number.

It is an amenable number.

125626521 is a deficient number, since it is larger than the sum of its proper divisors (51686439).

125626521 is a wasteful number, since it uses less digits than its factorization.

125626521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33656.

The product of its digits is 7200, while the sum is 30.

The square root of 125626521 is about 11208.3237372945. The cubic root of 125626521 is about 500.8339695495.

The spelling of 125626521 in words is "one hundred twenty-five million, six hundred twenty-six thousand, five hundred twenty-one".