827261984193 has 16 divisors (see below), whose sum is σ = 1141110115200. Its totient is φ = 532462891520.

The previous prime is 827261984177. The next prime is 827261984239. The reversal of 827261984193 is 391489162728.

It is a cyclic number.

It is not a de Polignac number, because 827261984193 - 2⁴ = 827261984177 is a prime.

It is a super-2 number, since 2×827261984193² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827261984893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515028 + ... + 1987418.

It is an arithmetic number, because the mean of its divisors is an integer number (71319382200).

Almost surely, 2^827261984193 is an apocalyptic number.

It is an amenable number.

827261984193 is a deficient number, since it is larger than the sum of its proper divisors (313848131007).

827261984193 is a wasteful number, since it uses less digits than its factorization.

827261984193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492552.

The product of its digits is 10450944, while the sum is 60.

The spelling of 827261984193 in words is "eight hundred twenty-seven billion, two hundred sixty-one million, nine hundred eighty-four thousand, one hundred ninety-three".