509127314237 has 2 divisors, whose sum is σ = 509127314238. Its totient is φ = 509127314236.

The previous prime is 509127314191. The next prime is 509127314239. The reversal of 509127314237 is 732413721905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450172560601 + 58954753636 = 670949^2 + 242806^2 .

It is a cyclic number.

It is not a de Polignac number, because 509127314237 - 2⁶ = 509127314173 is a prime.

Together with 509127314239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509127314239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254563657118 + 254563657119.

It is an arithmetic number, because the mean of its divisors is an integer number (254563657119).

Almost surely, 2^509127314237 is an apocalyptic number.

It is an amenable number.

509127314237 is a deficient number, since it is larger than the sum of its proper divisors (1).

509127314237 is an equidigital number, since it uses as much as digits as its factorization.

509127314237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 509127314237 in words is "five hundred nine billion, one hundred twenty-seven million, three hundred fourteen thousand, two hundred thirty-seven".