220509928074217 has 2 divisors, whose sum is σ = 220509928074218. Its totient is φ = 220509928074216.

The previous prime is 220509928074157. The next prime is 220509928074257. The reversal of 220509928074217 is 712470829905022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115623223974976 + 104886704099241 = 10752824^2 + 10241421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220509928074217 is a prime.

It is not a weakly prime, because it can be changed into another prime (220509928074257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110254964037108 + 110254964037109.

It is an arithmetic number, because the mean of its divisors is an integer number (110254964037109).

Almost surely, 2^{220509928074217} is an apocalyptic number.

It is an amenable number.

220509928074217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220509928074217 is an equidigital number, since it uses as much as digits as its factorization.

220509928074217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 220509928074217 in words is "two hundred twenty trillion, five hundred nine billion, nine hundred twenty-eight million, seventy-four thousand, two hundred seventeen".