2758955656217 has 2 divisors, whose sum is σ = 2758955656218. Its totient is φ = 2758955656216.

The previous prime is 2758955656187. The next prime is 2758955656283. The reversal of 2758955656217 is 7126565598572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1518146801161 + 1240808855056 = 1232131^2 + 1113916^2 .

It is a cyclic number.

It is not a de Polignac number, because 2758955656217 - 2²⁰ = 2758954607641 is a prime.

It is a super-2 number, since 2×2758955656217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2758955656297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1379477828108 + 1379477828109.

It is an arithmetic number, because the mean of its divisors is an integer number (1379477828109).

Almost surely, 2^{2758955656217} is an apocalyptic number.

It is an amenable number.

2758955656217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2758955656217 is an equidigital number, since it uses as much as digits as its factorization.

2758955656217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520000, while the sum is 68.

The spelling of 2758955656217 in words is "two trillion, seven hundred fifty-eight billion, nine hundred fifty-five million, six hundred fifty-six thousand, two hundred seventeen".