506591 has 2 divisors, whose sum is σ = 506592. Its totient is φ = 506590.

The previous prime is 506573. The next prime is 506593. The reversal of 506591 is 195605.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506591 - 2¹⁴ = 490207 is a prime.

Together with 506593, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506591.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253295 + 253296.

It is an arithmetic number, because the mean of its divisors is an integer number (253296).

2⁵⁰⁶⁵⁹¹ is an apocalyptic number.

506591 is a deficient number, since it is larger than the sum of its proper divisors (1).

506591 is an equidigital number, since it uses as much as digits as its factorization.

506591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 506591 is about 711.7520635727. The cubic root of 506591 is about 79.7172833179.

The spelling of 506591 in words is "five hundred six thousand, five hundred ninety-one".