6563 has 2 divisors, whose sum is σ = 6564. Its totient is φ = 6562.

The previous prime is 6553. The next prime is 6569. The reversal of 6563 is 3656.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 6563 - 2⁴ = 6547 is a prime.

It is a Sophie Germain prime.

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

It is equal to p₈₄₈ and since 6563 and 848 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (6569) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3281 + 3282.

It is an arithmetic number, because the mean of its divisors is an integer number (3282).

6563 is a deficient number, since it is larger than the sum of its proper divisors (1).

6563 is an equidigital number, since it uses as much as digits as its factorization.

6563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 20.

The square root of 6563 is about 81.0123447383. The cubic root of 6563 is about 18.7226564399.

It can be divided in two parts, 65 and 63, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 6563 in words is "six thousand, five hundred sixty-three".