7820593960217 has 2 divisors, whose sum is σ = 7820593960218. Its totient is φ = 7820593960216.

The previous prime is 7820593960163. The next prime is 7820593960219. The reversal of 7820593960217 is 7120693950287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7486412849161 + 334181111056 = 2736131^2 + 578084^2 .

It is a cyclic number.

It is not a de Polignac number, because 7820593960217 - 2²⁸ = 7820325524761 is a prime.

It is a super-2 number, since 2×7820593960217² (a number of 27 digits) contains 22 as substring.

Together with 7820593960219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7820593960219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3910296980108 + 3910296980109.

It is an arithmetic number, because the mean of its divisors is an integer number (3910296980109).

Almost surely, 2^{7820593960217} is an apocalyptic number.

It is an amenable number.

7820593960217 is a deficient number, since it is larger than the sum of its proper divisors (1).

7820593960217 is an equidigital number, since it uses as much as digits as its factorization.

7820593960217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 7820593960217 in words is "seven trillion, eight hundred twenty billion, five hundred ninety-three million, nine hundred sixty thousand, two hundred seventeen".