827128808517 has 12 divisors (see below), whose sum is σ = 1212210816320. Its totient is φ = 501290186760.

The previous prime is 827128808483. The next prime is 827128808551. The reversal of 827128808517 is 715808821728.

It is an interprime number because it is at equal distance from previous prime (827128808483) and next prime (827128808551).

It is not a de Polignac number, because 827128808517 - 2¹⁶ = 827128742981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827128808587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1139295517 + ... + 1139296242.

Almost surely, 2^827128808517 is an apocalyptic number.

It is an amenable number.

827128808517 is a deficient number, since it is larger than the sum of its proper divisors (385082007803).

827128808517 is a wasteful number, since it uses less digits than its factorization.

827128808517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278591784 (or 2278591773 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 57.

The spelling of 827128808517 in words is "eight hundred twenty-seven billion, one hundred twenty-eight million, eight hundred eight thousand, five hundred seventeen".