217152050066205 has 16 divisors (see below), whose sum is σ = 347447534582400. Its totient is φ = 115813008543168.

The previous prime is 217152050066191. The next prime is 217152050066219. The reversal of 217152050066205 is 502660050251712.

It is an interprime number because it is at equal distance from previous prime (217152050066191) and next prime (217152050066219).

It is not a de Polignac number, because 217152050066205 - 2⁵ = 217152050066173 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 87368530 + ... + 89819619.

It is an arithmetic number, because the mean of its divisors is an integer number (21715470911400).

Almost surely, 2^{217152050066205} is an apocalyptic number.

It is an amenable number.

217152050066205 is a deficient number, since it is larger than the sum of its proper divisors (130295484516195).

217152050066205 is a wasteful number, since it uses less digits than its factorization.

217152050066205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177269860.

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 217152050066205 in words is "two hundred seventeen trillion, one hundred fifty-two billion, fifty million, sixty-six thousand, two hundred five".