821016825 has 48 divisors (see below), whose sum is σ = 1411665600. Its totient is φ = 420537600.

The previous prime is 821016817. The next prime is 821016839. The reversal of 821016825 is 528610128.

It is not a de Polignac number, because 821016825 - 2³ = 821016817 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458031 + ... + 459819.

It is an arithmetic number, because the mean of its divisors is an integer number (29409700).

Almost surely, 2^821016825 is an apocalyptic number.

It is an amenable number.

821016825 is a deficient number, since it is larger than the sum of its proper divisors (590648775).

821016825 is a wasteful number, since it uses less digits than its factorization.

821016825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 821016825 is about 28653.3911605590. The cubic root of 821016825 is about 936.3768879535.

The spelling of 821016825 in words is "eight hundred twenty-one million, sixteen thousand, eight hundred twenty-five".