125613 has 12 divisors (see below), whose sum is σ = 192348. Its totient is φ = 78720.

The previous prime is 125597. The next prime is 125617. The reversal of 125613 is 316521.

125613 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 59049 = 258^2 + 243^2 .

It is not a de Polignac number, because 125613 - 2⁴ = 125597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (16029).

2¹²⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

125613 is a deficient number, since it is larger than the sum of its proper divisors (66735).

125613 is a wasteful number, since it uses less digits than its factorization.

125613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 125613 is about 354.4192432699. The cubic root of 125613 is about 50.0816000894.

It can be divided in two parts, 12 and 5613, that added together give a square (5625 = 75²).

The spelling of 125613 in words is "one hundred twenty-five thousand, six hundred thirteen".