350872257262217 has 2 divisors, whose sum is σ = 350872257262218. Its totient is φ = 350872257262216.

The previous prime is 350872257262199. The next prime is 350872257262283. The reversal of 350872257262217 is 712262752278053.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315374302605961 + 35497954656256 = 17758781^2 + 5958016^2 .

It is an emirp because it is prime and its reverse (712262752278053) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 350872257262217 - 2¹⁰ = 350872257261193 is a prime.

It is a super-2 number, since 2×350872257262217² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (350872257562217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 175436128631108 + 175436128631109.

It is an arithmetic number, because the mean of its divisors is an integer number (175436128631109).

Almost surely, 2^{350872257262217} is an apocalyptic number.

It is an amenable number.

350872257262217 is a deficient number, since it is larger than the sum of its proper divisors (1).

350872257262217 is an equidigital number, since it uses as much as digits as its factorization.

350872257262217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39513600, while the sum is 59.

The spelling of 350872257262217 in words is "three hundred fifty trillion, eight hundred seventy-two billion, two hundred fifty-seven million, two hundred sixty-two thousand, two hundred seventeen".