125646521 has 24 divisors (see below), whose sum is σ = 169993152. Its totient is φ = 90367200.

The previous prime is 125646481. The next prime is 125646523.

125646521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125646521 - 2⁶ = 125646457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125646523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5306 + ... + 16716.

It is an arithmetic number, because the mean of its divisors is an integer number (7083048).

Almost surely, 2^125646521 is an apocalyptic number.

125646521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125646521 is a deficient number, since it is larger than the sum of its proper divisors (44346631).

125646521 is a wasteful number, since it uses less digits than its factorization.

125646521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11442 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 125646521 is about 11209.2158958600. The cubic root of 125646521 is about 500.8605460712.

It can be divided in two parts, 125 and 646521, that added together give a palindrome (646646).

The spelling of 125646521 in words is "one hundred twenty-five million, six hundred forty-six thousand, five hundred twenty-one".