217305310163205 has 128 divisors (see below), whose sum is σ = 391222960128000. Its totient is φ = 102093353856000.

The previous prime is 217305310163167. The next prime is 217305310163251. The reversal of 217305310163205 is 502361013503712.

It is not a de Polignac number, because 217305310163205 - 2⁶ = 217305310163141 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 127 ways as a sum of consecutive naturals, for example, 1099629996 + ... + 1099827594.

It is an arithmetic number, because the mean of its divisors is an integer number (3056429376000).

Almost surely, 2^{217305310163205} is an apocalyptic number.

It is an amenable number.

217305310163205 is a deficient number, since it is larger than the sum of its proper divisors (173917649964795).

217305310163205 is a wasteful number, since it uses less digits than its factorization.

217305310163205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199075.

The product of its (nonzero) digits is 113400, while the sum is 39.

Adding to 217305310163205 its reverse (502361013503712), we get a palindrome (719666323666917).

The spelling of 217305310163205 in words is "two hundred seventeen trillion, three hundred five billion, three hundred ten million, one hundred sixty-three thousand, two hundred five".