25753 has 8 divisors (see below), whose sum is σ = 31808. Its totient is φ = 20304.

The previous prime is 25747. The next prime is 25759. The reversal of 25753 is 35752.

It is an interprime number because it is at equal distance from previous prime (25747) and next prime (25759).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25753 is a prime.

25753 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (25759) 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, 51 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (3976).

2²⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

25753 is a deficient number, since it is larger than the sum of its proper divisors (6055).

25753 is a wasteful number, since it uses less digits than its factorization.

25753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 1050, while the sum is 22.

The square root of 25753 is about 160.4774127409. The cubic root of 25753 is about 29.5308496582.

Subtracting 25753 from its reverse (35752), we obtain a palindrome (9999).

The spelling of 25753 in words is "twenty-five thousand, seven hundred fifty-three".