125257 has 8 divisors (see below), whose sum is σ = 139680. Its totient is φ = 111360.

The previous prime is 125243. The next prime is 125261. The reversal of 125257 is 752521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125257 - 2¹¹ = 123209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125207) 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, 553 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (17460).

2¹²⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

125257 is a deficient number, since it is larger than the sum of its proper divisors (14423).

125257 is a wasteful number, since it uses less digits than its factorization.

125257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 700, while the sum is 22.

The square root of 125257 is about 353.9166568558. The cubic root of 125257 is about 50.0342432094.

Adding to 125257 its reverse (752521), we get a palindrome (877778).

Subtracting 125257 from its reverse (752521), we obtain a square (627264 = 792²).

The spelling of 125257 in words is "one hundred twenty-five thousand, two hundred fifty-seven".