26253 has 6 divisors (see below), whose sum is σ = 37934. Its totient is φ = 17496.

The previous prime is 26251. The next prime is 26261. The reversal of 26253 is 35262.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 9 = 162^2 + 3^2 .

It is not a de Polignac number, because 26253 - 2¹ = 26251 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1450 + ... + 1467.

2²⁶²⁵³ is an apocalyptic number.

It is an amenable number.

26253 is a deficient number, since it is larger than the sum of its proper divisors (11681).

26253 is a wasteful number, since it uses less digits than its factorization.

26253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2920 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 26253 is about 162.0277753967. The cubic root of 26253 is about 29.7207418963.

Subtracting 26253 from its reverse (35262), we obtain a palindrome (9009).

It can be divided in two parts, 2625 and 3, that multiplied together give a triangular number (7875 = T₁₂₅).

The spelling of 26253 in words is "twenty-six thousand, two hundred fifty-three".