217312853763217 has 16 divisors (see below), whose sum is σ = 226641556690560. Its totient is φ = 208197850492800.

The previous prime is 217312853763211. The next prime is 217312853763233. The reversal of 217312853763217 is 712367358213712.

It is a cyclic number.

It is not a de Polignac number, because 217312853763217 - 2³⁵ = 217278494024849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217312853763211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114446884 + ... + 116330197.

It is an arithmetic number, because the mean of its divisors is an integer number (14165097293160).

Almost surely, 2^{217312853763217} is an apocalyptic number.

It is an amenable number.

217312853763217 is a deficient number, since it is larger than the sum of its proper divisors (9328702927343).

217312853763217 is a wasteful number, since it uses less digits than its factorization.

217312853763217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230777544.

The product of its digits is 17781120, while the sum is 58.

The spelling of 217312853763217 in words is "two hundred seventeen trillion, three hundred twelve billion, eight hundred fifty-three million, seven hundred sixty-three thousand, two hundred seventeen".