509257893997361 has 2 divisors, whose sum is σ = 509257893997362. Its totient is φ = 509257893997360.

The previous prime is 509257893997319. The next prime is 509257893997417. The reversal of 509257893997361 is 163799398752905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 490776011506225 + 18481882491136 = 22153465^2 + 4299056^2 .

It is a cyclic number.

It is not a de Polignac number, because 509257893997361 - 2⁶ = 509257893997297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 509257893997361.

It is not a weakly prime, because it can be changed into another prime (509257893997561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254628946998680 + 254628946998681.

It is an arithmetic number, because the mean of its divisors is an integer number (254628946998681).

Almost surely, 2^{509257893997361} is an apocalyptic number.

It is an amenable number.

509257893997361 is a deficient number, since it is larger than the sum of its proper divisors (1).

509257893997361 is an equidigital number, since it uses as much as digits as its factorization.

509257893997361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6944162400, while the sum is 83.

The spelling of 509257893997361 in words is "five hundred nine trillion, two hundred fifty-seven billion, eight hundred ninety-three million, nine hundred ninety-seven thousand, three hundred sixty-one".