125888521 has 12 divisors (see below), whose sum is σ = 139756932. Its totient is φ = 113300000.

The previous prime is 125888447. The next prime is 125888527.

125888521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 121000000 + 4888521 = 11000^2 + 2211^2 .

It is not a de Polignac number, because 125888521 - 2¹¹ = 125886473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125888527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7071 + ... + 17371.

It is an arithmetic number, because the mean of its divisors is an integer number (11646411).

Almost surely, 2^125888521 is an apocalyptic number.

125888521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125888521 is a deficient number, since it is larger than the sum of its proper divisors (13868411).

125888521 is a wasteful number, since it uses less digits than its factorization.

125888521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10413 counting only the distinct ones).

The product of its digits is 51200, while the sum is 40.

The square root of 125888521 is about 11220.0053921556. The cubic root of 125888521 is about 501.1818986963.

The spelling of 125888521 in words is "one hundred twenty-five million, eight hundred eighty-eight thousand, five hundred twenty-one".