25313 has 4 divisors (see below), whose sum is σ = 26820. Its totient is φ = 23808.

The previous prime is 25309. The next prime is 25321. The reversal of 25313 is 31352.

25313 = 112² + 113².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 12769 = 112^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 25313 - 2² = 25309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25303) 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 3 ways as a sum of consecutive naturals, for example, 728 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (6705).

2²⁵³¹³ is an apocalyptic number.

25313 is the 113-rd centered square number.

It is an amenable number.

25313 is a deficient number, since it is larger than the sum of its proper divisors (1507).

25313 is a wasteful number, since it uses less digits than its factorization.

25313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506.

The product of its digits is 90, while the sum is 14.

The square root of 25313 is about 159.1005971076. The cubic root of 25313 is about 29.3617006343.

Adding to 25313 its reverse (31352), we get a palindrome (56665).

The spelling of 25313 in words is "twenty-five thousand, three hundred thirteen".