13563 has 12 divisors (see below), whose sum is σ = 21528. Its totient is φ = 8160.

The previous prime is 13553. The next prime is 13567. The reversal of 13563 is 36531.

It is not a de Polignac number, because 13563 - 2⁶ = 13499 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13567) 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, 31 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1794).

2¹³⁵⁶³ is an apocalyptic number.

13563 is a deficient number, since it is larger than the sum of its proper divisors (7965).

13563 is a wasteful number, since it uses less digits than its factorization.

13563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 151 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 13563 is about 116.4602936627. The cubic root of 13563 is about 23.8479976695.

It can be divided in two parts, 13 and 563, that added together give a square (576 = 24²).

The spelling of 13563 in words is "thirteen thousand, five hundred sixty-three".