819860825 has 24 divisors (see below), whose sum is σ = 1163496960. Its totient is φ = 561398400.

The previous prime is 819860807. The next prime is 819860861. The reversal of 819860825 is 528068918.

819860825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 819860825 - 2¹² = 819856729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 819860825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138680 + ... + 144470.

It is an arithmetic number, because the mean of its divisors is an integer number (48479040).

Almost surely, 2^819860825 is an apocalyptic number.

It is an amenable number.

819860825 is a deficient number, since it is larger than the sum of its proper divisors (343636135).

819860825 is a wasteful number, since it uses less digits than its factorization.

819860825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The square root of 819860825 is about 28633.2119225210. The cubic root of 819860825 is about 935.9372054843.

The spelling of 819860825 in words is "eight hundred nineteen million, eight hundred sixty thousand, eight hundred twenty-five".