506573 has 2 divisors, whose sum is σ = 506574. Its totient is φ = 506572.

The previous prime is 506563. The next prime is 506591. The reversal of 506573 is 375605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 499849 + 6724 = 707^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 506573 - 2¹⁸ = 244429 is a prime.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253286 + 253287.

It is an arithmetic number, because the mean of its divisors is an integer number (253287).

2⁵⁰⁶⁵⁷³ is an apocalyptic number.

It is an amenable number.

506573 is a deficient number, since it is larger than the sum of its proper divisors (1).

506573 is an equidigital number, since it uses as much as digits as its factorization.

506573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 506573 is about 711.7394186077. The cubic root of 506573 is about 79.7163391453.

The spelling of 506573 in words is "five hundred six thousand, five hundred seventy-three".