125513 has 4 divisors (see below), whose sum is σ = 126228. Its totient is φ = 124800.

The previous prime is 125509. The next prime is 125527. The reversal of 125513 is 315521.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 64009 = 248^2 + 253^2 .

It is a cyclic number.

It is not a de Polignac number, because 125513 - 2² = 125509 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 125491 and 125500.

It is not an unprimeable number, because it can be changed into a prime (125113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (31557).

2¹²⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

125513 is a deficient number, since it is larger than the sum of its proper divisors (715).

125513 is an equidigital number, since it uses as much as digits as its factorization.

125513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its digits is 150, while the sum is 17.

The square root of 125513 is about 354.2781393199. The cubic root of 125513 is about 50.0683066416.

The spelling of 125513 in words is "one hundred twenty-five thousand, five hundred thirteen".