25263 has 12 divisors (see below), whose sum is σ = 41808. Its totient is φ = 14400.

The previous prime is 25261. The next prime is 25301. The reversal of 25263 is 36252.

It is not a de Polignac number, because 25263 - 2¹ = 25261 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

25263 is a lucky number.

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 138 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (3484).

2²⁵²⁶³ is an apocalyptic number.

25263 is a deficient number, since it is larger than the sum of its proper divisors (16545).

25263 is a wasteful number, since it uses less digits than its factorization.

25263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

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

The square root of 25263 is about 158.9433861474. The cubic root of 25263 is about 29.3423554663.

Adding to 25263 its sum of digits (18), we get a square (25281 = 159²).

It can be divided in two parts, 252 and 63, that multiplied together give a square (15876 = 126²).

The spelling of 25263 in words is "twenty-five thousand, two hundred sixty-three".