506563 has 2 divisors, whose sum is σ = 506564. Its totient is φ = 506562.

The previous prime is 506551. The next prime is 506573. The reversal of 506563 is 365605.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506563 - 2⁵ = 506531 is a prime.

It is not a weakly prime, because it can be changed into another prime (506533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253281 + 253282.

It is an arithmetic number, because the mean of its divisors is an integer number (253282).

2⁵⁰⁶⁵⁶³ is an apocalyptic number.

506563 is a deficient number, since it is larger than the sum of its proper divisors (1).

506563 is an equidigital number, since it uses as much as digits as its factorization.

506563 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 506563 is about 711.7323935300. The cubic root of 506563 is about 79.7158145952.

The spelling of 506563 in words is "five hundred six thousand, five hundred sixty-three".