217875466688353 has 2 divisors, whose sum is σ = 217875466688354. Its totient is φ = 217875466688352.

The previous prime is 217875466688329. The next prime is 217875466688389. The reversal of 217875466688353 is 353886664578712.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185229704647744 + 32645762040609 = 13609912^2 + 5713647^2 .

It is a cyclic number.

It is not a de Polignac number, because 217875466688353 - 2³³ = 217866876753761 is a prime.

It is not a weakly prime, because it can be changed into another prime (217875466688323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108937733344176 + 108937733344177.

It is an arithmetic number, because the mean of its divisors is an integer number (108937733344177).

Almost surely, 2^{217875466688353} is an apocalyptic number.

It is an amenable number.

217875466688353 is a deficient number, since it is larger than the sum of its proper divisors (1).

217875466688353 is an equidigital number, since it uses as much as digits as its factorization.

217875466688353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9754214400, while the sum is 79.

The spelling of 217875466688353 in words is "two hundred seventeen trillion, eight hundred seventy-five billion, four hundred sixty-six million, six hundred eighty-eight thousand, three hundred fifty-three".