827538680921 has 2 divisors, whose sum is σ = 827538680922. Its totient is φ = 827538680920.

The previous prime is 827538680893. The next prime is 827538680953. The reversal of 827538680921 is 129086835728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 608150425600 + 219388255321 = 779840^2 + 468389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827538680921 is a prime.

It is not a weakly prime, because it can be changed into another prime (827538680821) 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 as a sum of consecutive naturals, namely, 413769340460 + 413769340461.

It is an arithmetic number, because the mean of its divisors is an integer number (413769340461).

Almost surely, 2^827538680921 is an apocalyptic number.

It is an amenable number.

827538680921 is a deficient number, since it is larger than the sum of its proper divisors (1).

827538680921 is an equidigital number, since it uses as much as digits as its factorization.

827538680921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 827538680921 in words is "eight hundred twenty-seven billion, five hundred thirty-eight million, six hundred eighty thousand, nine hundred twenty-one".