125913 has 12 divisors (see below), whose sum is σ = 180560. Its totient is φ = 77832.

The previous prime is 125899. The next prime is 125921. The reversal of 125913 is 319521.

It is not a de Polignac number, because 125913 - 2⁴ = 125897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125913.

It is not an unprimeable number, because it can be changed into a prime (125933) 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, 2656 + ... + 2702.

2¹²⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

125913 is a deficient number, since it is larger than the sum of its proper divisors (54647).

125913 is an equidigital number, since it uses as much as digits as its factorization.

125913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 125913 is about 354.8422184577. The cubic root of 125913 is about 50.1214381501.

It can be divided in two parts, 12591 and 3, that multiplied together give a palindrome (37773).

The spelling of 125913 in words is "one hundred twenty-five thousand, nine hundred thirteen".