25517 has 8 divisors (see below), whose sum is σ = 28800. Its totient is φ = 22464.

The previous prime is 25471. The next prime is 25523. The reversal of 25517 is 71552.

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

It is a cyclic number.

It is not a de Polignac number, because 25517 - 2⁶ = 25453 is a prime.

It is a super-2 number, since 2×25517² = 1302234578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25517.

It is not an unprimeable number, because it can be changed into a prime (25537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2²⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

25517 is a deficient number, since it is larger than the sum of its proper divisors (3283).

25517 is a wasteful number, since it uses less digits than its factorization.

25517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its digits is 350, while the sum is 20.

The square root of 25517 is about 159.7404144229. The cubic root of 25517 is about 29.4403659818.

It can be divided in two parts, 255 and 17, that added together give a palindrome (272).

The spelling of 25517 in words is "twenty-five thousand, five hundred seventeen".