509343377776357 has 2 divisors, whose sum is σ = 509343377776358. Its totient is φ = 509343377776356.

The previous prime is 509343377776351. The next prime is 509343377776391. The reversal of 509343377776357 is 753677773343905.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 401980084412481 + 107363293363876 = 20049441^2 + 10361626^2 .

It is a cyclic number.

It is not a de Polignac number, because 509343377776357 - 2³ = 509343377776349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509343377776351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254671688888178 + 254671688888179.

It is an arithmetic number, because the mean of its divisors is an integer number (254671688888179).

Almost surely, 2^{509343377776357} is an apocalyptic number.

It is an amenable number.

509343377776357 is a deficient number, since it is larger than the sum of its proper divisors (1).

509343377776357 is an equidigital number, since it uses as much as digits as its factorization.

509343377776357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7351381800, while the sum is 76.

The spelling of 509343377776357 in words is "five hundred nine trillion, three hundred forty-three billion, three hundred seventy-seven million, seven hundred seventy-six thousand, three hundred fifty-seven".