821008083051 has 24 divisors (see below), whose sum is σ = 1277962520016. Its totient is φ = 504903896640.

The previous prime is 821008083047. The next prime is 821008083067. The reversal of 821008083051 is 150380800128.

It is not a de Polignac number, because 821008083051 - 2² = 821008083047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 821008082997 and 821008083015.

It is not an unprimeable number, because it can be changed into a prime (821008083251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125540 + ... + 2481921.

It is an arithmetic number, because the mean of its divisors is an integer number (53248438334).

Almost surely, 2^821008083051 is an apocalyptic number.

821008083051 is a deficient number, since it is larger than the sum of its proper divisors (456954436965).

821008083051 is a wasteful number, since it uses less digits than its factorization.

821008083051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609003 (or 4609000 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 821008083051 its reverse (150380800128), we get a palindrome (971388883179).

The spelling of 821008083051 in words is "eight hundred twenty-one billion, eight million, eighty-three thousand, fifty-one".