505610009 has 2 divisors, whose sum is σ = 505610010. Its totient is φ = 505610008.

The previous prime is 505609963. The next prime is 505610051. The reversal of 505610009 is 900016505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494083984 + 11526025 = 22228^2 + 3395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505610009 is a prime.

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 505610009.

It is not a weakly prime, because it can be changed into another prime (505610059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252805004 + 252805005.

It is an arithmetic number, because the mean of its divisors is an integer number (252805005).

Almost surely, 2^505610009 is an apocalyptic number.

It is an amenable number.

505610009 is a deficient number, since it is larger than the sum of its proper divisors (1).

505610009 is an equidigital number, since it uses as much as digits as its factorization.

505610009 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 505610009 is about 22485.7734801363. The cubic root of 505610009 is about 796.6579374016.

The spelling of 505610009 in words is "five hundred five million, six hundred ten thousand, nine".