827140068513 has 24 divisors (see below), whose sum is σ = 1305028479456. Its totient is φ = 500659992000.

The previous prime is 827140068493. The next prime is 827140068539. The reversal of 827140068513 is 315860041728.

827140068513 is a `hidden beast` number, since 8 + 2 + 71 + 4 + 0 + 0 + 68 + 513 = 666.

It is not a de Polignac number, because 827140068513 - 2¹⁸ = 827139806369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827140066513) 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 23 ways as a sum of consecutive naturals, for example, 5230188 + ... + 5386013.

It is an arithmetic number, because the mean of its divisors is an integer number (54376186644).

Almost surely, 2^827140068513 is an apocalyptic number.

It is an amenable number.

827140068513 is a deficient number, since it is larger than the sum of its proper divisors (477888410943).

827140068513 is a wasteful number, since it uses less digits than its factorization.

827140068513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617005 (or 10617002 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 827140068513 in words is "eight hundred twenty-seven billion, one hundred forty million, sixty-eight thousand, five hundred thirteen".