563 has 2 divisors, whose sum is σ = 564. Its totient is φ = 562.

The previous prime is 557. The next prime is 569. The reversal of 563 is 365.

It is a happy number.

563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (557) and next prime (569).

It is a cyclic number.

It is not a de Polignac number, because 563 - 2^{4} = 547 is a prime.

It is a Chen prime.

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

It is a plaindrome in base 6, base 12, base 13, base 15 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 563.

It is not a weakly prime, because it can be changed into another prime (569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 281 + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (282).

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

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

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

The product of its digits is 90, while the sum is 14.

The square root of 563 is about 23.7276210354. The cubic root of 563 is about 8.2572632699.

The spelling of 563 in words is "five hundred sixty-three", and thus it is an aban number and an oban number.

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