217210507193 has 2 divisors, whose sum is σ = 217210507194. Its totient is φ = 217210507192.

The previous prime is 217210507159. The next prime is 217210507219. The reversal of 217210507193 is 391705012712.

217210507193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154643989504 + 62566517689 = 393248^2 + 250133^2 .

It is a cyclic number.

It is not a de Polignac number, because 217210507193 - 2¹⁰ = 217210506169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (217210507103) 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, 108605253596 + 108605253597.

It is an arithmetic number, because the mean of its divisors is an integer number (108605253597).

Almost surely, 2^217210507193 is an apocalyptic number.

It is an amenable number.

217210507193 is a deficient number, since it is larger than the sum of its proper divisors (1).

217210507193 is an equidigital number, since it uses as much as digits as its factorization.

217210507193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 38.

The spelling of 217210507193 in words is "two hundred seventeen billion, two hundred ten million, five hundred seven thousand, one hundred ninety-three".