217106939176993 has 16 divisors (see below), whose sum is σ = 224649155250000. Its totient is φ = 209568446825472.

The previous prime is 217106939176969. The next prime is 217106939177017. The reversal of 217106939176993 is 399671939601712.

217106939176993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (217106939176969) and next prime (217106939177017).

It can be written as a sum of positive squares in 8 ways, for example, as 1669801515264 + 215437137661729 = 1292208^2 + 14677777^2 .

It is a cyclic number.

It is not a de Polignac number, because 217106939176993 - 2¹⁷ = 217106939045921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217106939116993) 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, 2703354723 + ... + 2703435031.

It is an arithmetic number, because the mean of its divisors is an integer number (14040572203125).

Almost surely, 2^{217106939176993} is an apocalyptic number.

It is an amenable number.

217106939176993 is a deficient number, since it is larger than the sum of its proper divisors (7542216073007).

217106939176993 is a wasteful number, since it uses less digits than its factorization.

217106939176993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102324.

The product of its (nonzero) digits is 208324872, while the sum is 73.

The spelling of 217106939176993 in words is "two hundred seventeen trillion, one hundred six billion, nine hundred thirty-nine million, one hundred seventy-six thousand, nine hundred ninety-three".