217876722105313 has 2 divisors, whose sum is σ = 217876722105314. Its totient is φ = 217876722105312.

The previous prime is 217876722105281. The next prime is 217876722105389. The reversal of 217876722105313 is 313501227678712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193709833249024 + 24166888856289 = 13917968^2 + 4915983^2 .

It is a cyclic number.

It is not a de Polignac number, because 217876722105313 - 2⁵ = 217876722105281 is a prime.

It is not a weakly prime, because it can be changed into another prime (217876722102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108938361052656 + 108938361052657.

It is an arithmetic number, because the mean of its divisors is an integer number (108938361052657).

Almost surely, 2^{217876722105313} is an apocalyptic number.

It is an amenable number.

217876722105313 is a deficient number, since it is larger than the sum of its proper divisors (1).

217876722105313 is an equidigital number, since it uses as much as digits as its factorization.

217876722105313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 217876722105313 in words is "two hundred seventeen trillion, eight hundred seventy-six billion, seven hundred twenty-two million, one hundred five thousand, three hundred thirteen".