25261 has 2 divisors, whose sum is σ = 25262. Its totient is φ = 25260.

The previous prime is 25253. The next prime is 25301. The reversal of 25261 is 16252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17161 + 8100 = 131^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 25261 - 2³ = 25253 is a prime.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12630 + 12631.

It is an arithmetic number, because the mean of its divisors is an integer number (12631).

2²⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

25261 is a deficient number, since it is larger than the sum of its proper divisors (1).

25261 is an equidigital number, since it uses as much as digits as its factorization.

25261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 16.

The square root of 25261 is about 158.9370944745. The cubic root of 25261 is about 29.3415811288.

Subtracting from 25261 its reverse (16252), we obtain a palindrome (9009).

It can be divided in two parts, 252 and 61, that added together give a palindrome (313).

The spelling of 25261 in words is "twenty-five thousand, two hundred sixty-one".