819000825 has 24 divisors (see below), whose sum is σ = 1359921888. Its totient is φ = 434916480.

The previous prime is 819000817. The next prime is 819000863. The reversal of 819000825 is 528000918.

It is a happy number.

It is not a de Polignac number, because 819000825 - 2³ = 819000817 is a prime.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 5959 + ... + 40908.

It is an arithmetic number, because the mean of its divisors is an integer number (56663412).

Almost surely, 2^819000825 is an apocalyptic number.

It is an amenable number.

819000825 is a deficient number, since it is larger than the sum of its proper divisors (540921063).

819000825 is a wasteful number, since it uses less digits than its factorization.

819000825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47113 (or 47108 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 819000825 is about 28618.1904564212. The cubic root of 819000825 is about 935.6098378897.

The spelling of 819000825 in words is "eight hundred nineteen million, eight hundred twenty-five", and thus it is an aban number.