506593 has 2 divisors, whose sum is σ = 506594. Its totient is φ = 506592.

The previous prime is 506591. The next prime is 506599. The reversal of 506593 is 395605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 5329 = 708^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 506593 - 2¹ = 506591 is a prime.

Together with 506591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (506591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253296 + 253297.

It is an arithmetic number, because the mean of its divisors is an integer number (253297).

2⁵⁰⁶⁵⁹³ is an apocalyptic number.

It is an amenable number.

506593 is a deficient number, since it is larger than the sum of its proper divisors (1).

506593 is an equidigital number, since it uses as much as digits as its factorization.

506593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 506593 is about 711.7534685549. The cubic root of 506593 is about 79.7173882246.

The spelling of 506593 in words is "five hundred six thousand, five hundred ninety-three".