25253 has 2 divisors, whose sum is σ = 25254. Its totient is φ = 25252.

The previous prime is 25247. The next prime is 25261. The reversal of 25253 is 35252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 289 = 158^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 25253 - 2⁴ = 25237 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹³ + 5² + 2¹⁴ + 5⁴ + 3³ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12626 + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (12627).

2²⁵²⁵³ is an apocalyptic number.

It is an amenable number.

25253 is a deficient number, since it is larger than the sum of its proper divisors (1).

25253 is an equidigital number, since it uses as much as digits as its factorization.

25253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 300, while the sum is 17.

The square root of 25253 is about 158.9119252920. The cubic root of 25253 is about 29.3384833703.

Subtracting 25253 from its reverse (35252), we obtain a palindrome (9999).

The spelling of 25253 in words is "twenty-five thousand, two hundred fifty-three".