26563 has 4 divisors (see below), whose sum is σ = 26928. Its totient is φ = 26200.

The previous prime is 26561. The next prime is 26573. The reversal of 26563 is 36562.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 26563 - 2¹ = 26561 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (26561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (6732).

2²⁶⁵⁶³ is an apocalyptic number.

26563 is a deficient number, since it is larger than the sum of its proper divisors (365).

26563 is a wasteful number, since it uses less digits than its factorization.

26563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its digits is 1080, while the sum is 22.

The square root of 26563 is about 162.9815940528. The cubic root of 26563 is about 29.8372670101.

Subtracting 26563 from its reverse (36562), we obtain a palindrome (9999).

The spelling of 26563 in words is "twenty-six thousand, five hundred sixty-three".