2563 has 4 divisors (see below), whose sum is σ = 2808. Its totient is φ = 2320.

The previous prime is 2557. The next prime is 2579. The reversal of 2563 is 3652.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2563 - 2⁵ = 2531 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

2563 is a lucky number.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2503) 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, 106 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (702).

2²⁵⁶³ is an apocalyptic number.

2563 is a deficient number, since it is larger than the sum of its proper divisors (245).

2563 is a wasteful number, since it uses less digits than its factorization.

2563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its digits is 180, while the sum is 16.

The square root of 2563 is about 50.6260802354. The cubic root of 2563 is about 13.6851491622.

Subtracting 2563 from its reverse (3652), we obtain a square (1089 = 33²).

It can be divided in two parts, 25 and 63, that added together give a palindrome (88).

The spelling of 2563 in words is "two thousand, five hundred sixty-three".