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25312 = 257113

25312 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 10752.

The previous prime is 25309. The next prime is 25321. The reversal of 25312 is 21352.

25312 = T53 + T54 + ... + T66.

25312 is nontrivially palindromic in base 15.

25312 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 25292 and 25301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

225312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728).

25312 is an abundant number, since it is smaller than the sum of its proper divisors (32144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25312 is a wasteful number, since it uses less digits than its factorization.

25312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 25312 is about 159.0974544108. The cubic root of 25312 is about 29.3613139807.

Subtracting from 25312 its product of digits (60), we obtain a palindrome (25252).

Adding to 25312 its reverse (21352), we get a palindrome (46664).

The spelling of 25312 in words is "twenty-five thousand, three hundred twelve".