10563 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 6024.

The previous prime is 10559. The next prime is 10567. The reversal of 10563 is 36501.

It is an interprime number because it is at equal distance from previous prime (10559) and next prime (10567).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10563 - 2² = 10559 is a prime.

It is a super-2 number, since 2×10563² = 223153938, which contains 22 as substring.

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

10563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (10567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

10563 is a deficient number, since it is larger than the sum of its proper divisors (5565).

10563 is an equidigital number, since it uses as much as digits as its factorization.

10563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10563 is about 102.7764564480. The cubic root of 10563 is about 21.9413035913.

The spelling of 10563 in words is "ten thousand, five hundred sixty-three".