821151012 has 144 divisors (see below), whose sum is σ = 2186971136. Its totient is φ = 239500800.

The previous prime is 821150989. The next prime is 821151029. The reversal of 821151012 is 210151128.

It is a self number, because there is not a number n which added to its sum of digits gives 821151012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6465693 + ... + 6465819.

Almost surely, 2^821151012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821151012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093485568).

821151012 is an abundant number, since it is smaller than the sum of its proper divisors (1365820124).

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

821151012 is a wasteful number, since it uses less digits than its factorization.

821151012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 821151012 is about 28655.7326201931. The cubic root of 821151012 is about 936.4278989912.

The spelling of 821151012 in words is "eight hundred twenty-one million, one hundred fifty-one thousand, twelve".