217064586241 has 32 divisors (see below), whose sum is σ = 236585422080. Its totient is φ = 198345369600.

The previous prime is 217064586229. The next prime is 217064586247. The reversal of 217064586241 is 142685460712.

It is a cyclic number.

It is not a de Polignac number, because 217064586241 - 2¹⁵ = 217064553473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217064586191 and 217064586200.

It is not an unprimeable number, because it can be changed into a prime (217064586247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210537396 + ... + 210538426.

It is an arithmetic number, because the mean of its divisors is an integer number (7393294440).

Almost surely, 2^217064586241 is an apocalyptic number.

It is an amenable number.

217064586241 is a deficient number, since it is larger than the sum of its proper divisors (19520835839).

217064586241 is a wasteful number, since it uses less digits than its factorization.

217064586241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 217064586241 in words is "two hundred seventeen billion, sixty-four million, five hundred eighty-six thousand, two hundred forty-one".