825056883 has 48 divisors (see below), whose sum is σ = 1401753600. Its totient is φ = 457883712.

The previous prime is 825056809. The next prime is 825056887. The reversal of 825056883 is 388650528.

It is a happy number.

825056883 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 568 + 83 = 666.

It is not a de Polignac number, because 825056883 - 2⁹ = 825056371 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (825056887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 342718 + ... + 345116.

It is an arithmetic number, because the mean of its divisors is an integer number (29203200).

Almost surely, 2^825056883 is an apocalyptic number.

825056883 is a deficient number, since it is larger than the sum of its proper divisors (576696717).

825056883 is a wasteful number, since it uses less digits than its factorization.

825056883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 825056883 is about 28723.8034215527. The cubic root of 825056883 is about 937.9102827131.

The spelling of 825056883 in words is "eight hundred twenty-five million, fifty-six thousand, eight hundred eighty-three".