25953 has 8 divisors (see below), whose sum is σ = 35616. Its totient is φ = 16800.

The previous prime is 25951. The next prime is 25969. The reversal of 25953 is 35952.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 25953 - 2¹ = 25951 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25953.

It is not an unprimeable number, because it can be changed into a prime (25951) 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 in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2²⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

25953 is a deficient number, since it is larger than the sum of its proper divisors (9663).

25953 is a wasteful number, since it uses less digits than its factorization.

25953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 1350, while the sum is 24.

The square root of 25953 is about 161.0993482296. The cubic root of 25953 is about 29.6070989791.

Subtracting 25953 from its reverse (35952), we obtain a palindrome (9999).

The spelling of 25953 in words is "twenty-five thousand, nine hundred fifty-three".