509127314009 has 2 divisors, whose sum is σ = 509127314010. Its totient is φ = 509127314008.

The previous prime is 509127313957. The next prime is 509127314039. The reversal of 509127314009 is 900413721905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494029048384 + 15098265625 = 702872^2 + 122875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509127314009 is a prime.

It is not a weakly prime, because it can be changed into another prime (509127314039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254563657004 + 254563657005.

It is an arithmetic number, because the mean of its divisors is an integer number (254563657005).

Almost surely, 2^509127314009 is an apocalyptic number.

It is an amenable number.

509127314009 is a deficient number, since it is larger than the sum of its proper divisors (1).

509127314009 is an equidigital number, since it uses as much as digits as its factorization.

509127314009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 509127314009 in words is "five hundred nine billion, one hundred twenty-seven million, three hundred fourteen thousand, nine".