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25281 = 32532
BaseRepresentation
bin110001011000001
31021200100
412023001
51302111
6313013
7133464
oct61301
937610
1025281
1117aa3
1212769
13b679
1492db
157756
hex62c1

25281 has 9 divisors (see below), whose sum is σ = 37219. Its totient is φ = 16536.

The previous prime is 25261. The next prime is 25301. The reversal of 25281 is 18252.

25281 = T158 + T159.

The square root of 25281 is 159.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (25261) and next prime (25301).

It can be written as a sum of positive squares in only one way, i.e., 18225 + 7056 = 135^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25281 - 27 = 25153 is a prime.

It is a super-2 number, since 2×252812 = 1278257922, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25281.

It is not an unprimeable number, because it can be changed into a prime (25261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 451 + ... + 503.

225281 is an apocalyptic number.

25281 is the 159-th square number.

25281 is the 80-th centered octagonal number.

It is an amenable number.

25281 is a deficient number, since it is larger than the sum of its proper divisors (11938).

25281 is an equidigital number, since it uses as much as digits as its factorization.

25281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The cubic root of 25281 is about 29.3493226648.

It can be divided in two parts, 252 and 81, that added together give a palindrome (333).

The spelling of 25281 in words is "twenty-five thousand, two hundred eighty-one".

Divisors: 1 3 9 53 159 477 2809 8427 25281