506810609 has 2 divisors, whose sum is σ = 506810610. Its totient is φ = 506810608.

The previous prime is 506810581. The next prime is 506810611. The reversal of 506810609 is 906018605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 472845025 + 33965584 = 21745^2 + 5828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506810609 is a prime.

Together with 506810611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506810809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253405304 + 253405305.

It is an arithmetic number, because the mean of its divisors is an integer number (253405305).

Almost surely, 2^506810609 is an apocalyptic number.

It is an amenable number.

506810609 is a deficient number, since it is larger than the sum of its proper divisors (1).

506810609 is an equidigital number, since it uses as much as digits as its factorization.

506810609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 506810609 is about 22512.4545307703. The cubic root of 506810609 is about 797.2880089570.

The spelling of 506810609 in words is "five hundred six million, eight hundred ten thousand, six hundred nine".