125525313 has 18 divisors (see below), whose sum is σ = 185866902. Its totient is φ = 81632640.

The previous prime is 125525261. The next prime is 125525327. The reversal of 125525313 is 313525521.

It is a happy number.

125525313 is a `hidden beast` number, since 125 + 5 + 2 + 531 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3908529 + 121616784 = 1977^2 + 11028^2 .

It is not a de Polignac number, because 125525313 - 2¹⁶ = 125459777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125525363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10981 + ... + 19277.

It is an arithmetic number, because the mean of its divisors is an integer number (10325939).

Almost surely, 2^125525313 is an apocalyptic number.

It is an amenable number.

125525313 is a deficient number, since it is larger than the sum of its proper divisors (60341589).

125525313 is an equidigital number, since it uses as much as digits as its factorization.

125525313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8341 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 125525313 is about 11203.8079687221. The cubic root of 125525313 is about 500.6994384488.

The spelling of 125525313 in words is "one hundred twenty-five million, five hundred twenty-five thousand, three hundred thirteen".