217997951300641 has 2 divisors, whose sum is σ = 217997951300642. Its totient is φ = 217997951300640.

The previous prime is 217997951300611. The next prime is 217997951300651. The reversal of 217997951300641 is 146003159799712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198973480793616 + 19024470507025 = 14105796^2 + 4361705^2 .

It is a cyclic number.

It is not a de Polignac number, because 217997951300641 - 2¹⁷ = 217997951169569 is a prime.

It is not a weakly prime, because it can be changed into another prime (217997951300611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108998975650320 + 108998975650321.

It is an arithmetic number, because the mean of its divisors is an integer number (108998975650321).

Almost surely, 2^{217997951300641} is an apocalyptic number.

It is an amenable number.

217997951300641 is a deficient number, since it is larger than the sum of its proper divisors (1).

217997951300641 is an equidigital number, since it uses as much as digits as its factorization.

217997951300641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25719120, while the sum is 64.

The spelling of 217997951300641 in words is "two hundred seventeen trillion, nine hundred ninety-seven billion, nine hundred fifty-one million, three hundred thousand, six hundred forty-one".