821002050810 has 24 divisors (see below), whose sum is σ = 2134605332340. Its totient is φ = 218933880192.

The previous prime is 821002050787. The next prime is 821002050821. The reversal of 821002050810 is 18050200128.

It can be written as a sum of positive squares in 2 ways, for example, as 738425706489 + 82576344321 = 859317^2 + 287361^2 .

It is a super-2 number, since 2×821002050810² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4561122415 + ... + 4561122594.

Almost surely, 2^821002050810 is an apocalyptic number.

821002050810 is an abundant number, since it is smaller than the sum of its proper divisors (1313603281530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821002050810 is a wasteful number, since it uses less digits than its factorization.

821002050810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122245022 (or 9122245019 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 821002050810 its reverse (18050200128), we get a palindrome (839052250938).

The spelling of 821002050810 in words is "eight hundred twenty-one billion, two million, fifty thousand, eight hundred ten".