263563 has 4 divisors (see below), whose sum is σ = 264600. Its totient is φ = 262528.

The previous prime is 263561. The next prime is 263567. The reversal of 263563 is 365362.

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, and also an emirpimes, since its reverse is a distinct semiprime: 365362 = 2 ⋅182681.

It is a cyclic number.

It is not a de Polignac number, because 263563 - 2¹ = 263561 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹³ + 6² + 5⁷ + 3³ + 6² + 3¹¹ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2²⁶³⁵⁶³ is an apocalyptic number.

263563 is a deficient number, since it is larger than the sum of its proper divisors (1037).

263563 is an equidigital number, since it uses as much as digits as its factorization.

263563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

The product of its digits is 3240, while the sum is 25.

The square root of 263563 is about 513.3838719711. The cubic root of 263563 is about 64.1152707761.

The spelling of 263563 in words is "two hundred sixty-three thousand, five hundred sixty-three".