125253 has 8 divisors (see below), whose sum is σ = 185600. Its totient is φ = 83484.

The previous prime is 125243. The next prime is 125261. The reversal of 125253 is 352521.

It is a happy number.

It is not a de Polignac number, because 125253 - 2⁵ = 125221 is a prime.

It is a Duffinian number.

125253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (23200).

2¹²⁵²⁵³ is an apocalyptic number.

It is an amenable number.

125253 is a deficient number, since it is larger than the sum of its proper divisors (60347).

125253 is an equidigital number, since it uses as much as digits as its factorization.

125253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4642 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 125253 is about 353.9110057627. The cubic root of 125253 is about 50.0337106001.

Adding to 125253 its reverse (352521), we get a palindrome (477774).

It can be divided in two parts, 125 and 253, that added together give a triangular number (378 = T₂₇).

The spelling of 125253 in words is "one hundred twenty-five thousand, two hundred fifty-three".