25759 has 2 divisors, whose sum is σ = 25760. Its totient is φ = 25758.

The previous prime is 25747. The next prime is 25763. The reversal of 25759 is 95752.

25759 = 63² + 64² + ... + 68².

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 25759 - 2⁹ = 25247 is a prime.

25759 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12879 + 12880.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2²⁵⁷⁵⁹ is an apocalyptic number.

25759 is a deficient number, since it is larger than the sum of its proper divisors (1).

25759 is an equidigital number, since it uses as much as digits as its factorization.

25759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3150, while the sum is 28.

The square root of 25759 is about 160.4961058718. The cubic root of 25759 is about 29.5331428711.

It can be divided in two parts, 25 and 759, that added together give a square (784 = 28²).

The spelling of 25759 in words is "twenty-five thousand, seven hundred fifty-nine".