217264288262341 has 2 divisors, whose sum is σ = 217264288262342. Its totient is φ = 217264288262340.

The previous prime is 217264288262339. The next prime is 217264288262419. The reversal of 217264288262341 is 143262882462712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183475016637025 + 33789271625316 = 13545295^2 + 5812854^2 .

It is a cyclic number.

It is not a de Polignac number, because 217264288262341 - 2¹ = 217264288262339 is a prime.

Together with 217264288262339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217264288262321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108632144131170 + 108632144131171.

It is an arithmetic number, because the mean of its divisors is an integer number (108632144131171).

Almost surely, 2^{217264288262341} is an apocalyptic number.

It is an amenable number.

217264288262341 is a deficient number, since it is larger than the sum of its proper divisors (1).

217264288262341 is an equidigital number, since it uses as much as digits as its factorization.

217264288262341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24772608, while the sum is 58.

The spelling of 217264288262341 in words is "two hundred seventeen trillion, two hundred sixty-four billion, two hundred eighty-eight million, two hundred sixty-two thousand, three hundred forty-one".