828205352217 has 6 divisors (see below), whose sum is σ = 1196296619882. Its totient is φ = 552136901472.

The previous prime is 828205352159. The next prime is 828205352333. The reversal of 828205352217 is 712253502828.

828205352217 is a `hidden beast` number, since 8 + 2 + 82 + 0 + 5 + 352 + 217 = 666.

It can be written as a sum of positive squares in only one way, i.e., 636119500041 + 192085852176 = 797571^2 + 438276^2 .

It is not a de Polignac number, because 828205352217 - 2¹¹ = 828205350169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828205352417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46011408448 + ... + 46011408465.

Almost surely, 2^828205352217 is an apocalyptic number.

It is an amenable number.

828205352217 is a deficient number, since it is larger than the sum of its proper divisors (368091267665).

828205352217 is a wasteful number, since it uses less digits than its factorization.

828205352217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92022816919 (or 92022816916 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 828205352217 in words is "eight hundred twenty-eight billion, two hundred five million, three hundred fifty-two thousand, two hundred seventeen".