125959 has 2 divisors, whose sum is σ = 125960. Its totient is φ = 125958.

The previous prime is 125941. The next prime is 125963. The reversal of 125959 is 959521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 125959 - 2⁵ = 125927 is a prime.

125959 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 125959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62979 + 62980.

It is an arithmetic number, because the mean of its divisors is an integer number (62980).

2¹²⁵⁹⁵⁹ is an apocalyptic number.

125959 is a deficient number, since it is larger than the sum of its proper divisors (1).

125959 is an equidigital number, since it uses as much as digits as its factorization.

125959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4050, while the sum is 31.

The square root of 125959 is about 354.9070300797. The cubic root of 125959 is about 50.1275410556.

The spelling of 125959 in words is "one hundred twenty-five thousand, nine hundred fifty-nine".