125261 has 2 divisors, whose sum is σ = 125262. Its totient is φ = 125260.

The previous prime is 125243. The next prime is 125269. The reversal of 125261 is 162521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 52900 = 269^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 125261 - 2⁶ = 125197 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62630 + 62631.

It is an arithmetic number, because the mean of its divisors is an integer number (62631).

2¹²⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

125261 is a deficient number, since it is larger than the sum of its proper divisors (1).

125261 is an equidigital number, since it uses as much as digits as its factorization.

125261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 125261 is about 353.9223078587. The cubic root of 125261 is about 50.0347758073.

Adding to 125261 its reverse (162521), we get a palindrome (287782).

The spelling of 125261 in words is "one hundred twenty-five thousand, two hundred sixty-one".