11563 has 4 divisors (see below), whose sum is σ = 11968. Its totient is φ = 11160.

The previous prime is 11551. The next prime is 11579. The reversal of 11563 is 36511.

11563 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36511 = 29 ⋅1259.

It is not a de Polignac number, because 11563 - 2¹³ = 3371 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11503) 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, 156 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2992).

2¹¹⁵⁶³ is an apocalyptic number.

11563 is a deficient number, since it is larger than the sum of its proper divisors (405).

11563 is an equidigital number, since it uses as much as digits as its factorization.

11563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its digits is 90, while the sum is 16.

The square root of 11563 is about 107.5313907657. The cubic root of 11563 is about 22.6129301840.

The spelling of 11563 in words is "eleven thousand, five hundred sixty-three".