217505706653 has 2 divisors, whose sum is σ = 217505706654. Its totient is φ = 217505706652.

The previous prime is 217505706637. The next prime is 217505706667. The reversal of 217505706653 is 356607505712.

217505706653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123199596004 + 94306110649 = 350998^2 + 307093^2 .

It is a cyclic number.

It is not a de Polignac number, because 217505706653 - 2⁴ = 217505706637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217505706598 and 217505706607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217505706683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108752853326 + 108752853327.

It is an arithmetic number, because the mean of its divisors is an integer number (108752853327).

Almost surely, 2^217505706653 is an apocalyptic number.

It is an amenable number.

217505706653 is a deficient number, since it is larger than the sum of its proper divisors (1).

217505706653 is an equidigital number, since it uses as much as digits as its factorization.

217505706653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323000, while the sum is 47.

The spelling of 217505706653 in words is "two hundred seventeen billion, five hundred five million, seven hundred six thousand, six hundred fifty-three".