25913 has 2 divisors, whose sum is σ = 25914. Its totient is φ = 25912.

The previous prime is 25903. The next prime is 25919. The reversal of 25913 is 31952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 2809 = 152^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 25913 - 2⁶ = 25849 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (25919) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12956 + 12957.

It is an arithmetic number, because the mean of its divisors is an integer number (12957).

2²⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

25913 is a deficient number, since it is larger than the sum of its proper divisors (1).

25913 is an equidigital number, since it uses as much as digits as its factorization.

25913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 20.

The square root of 25913 is about 160.9751533623. The cubic root of 25913 is about 29.5918805341.

It can be divided in two parts, 259 and 13, that added together give a palindrome (272).

The spelling of 25913 in words is "twenty-five thousand, nine hundred thirteen".