10825959933 has 64 divisors (see below), whose sum is σ = 16678297600. Its totient is φ = 6936814080.

The previous prime is 10825959899. The next prime is 10825959971. The reversal of 10825959933 is 33995952801.

10825959933 is a `hidden beast` number, since 10 + 8 + 2 + 5 + 9 + 599 + 33 = 666.

10825959933 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 10825959933 - 2¹⁷ = 10825828861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10825959933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825959233) 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 63 ways as a sum of consecutive naturals, for example, 15268983 + ... + 15269691.

It is an arithmetic number, because the mean of its divisors is an integer number (260598400).

Almost surely, 2^10825959933 is an apocalyptic number.

It is an amenable number.

10825959933 is a deficient number, since it is larger than the sum of its proper divisors (5852337667).

10825959933 is a wasteful number, since it uses less digits than its factorization.

10825959933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 10825959933 in words is "ten billion, eight hundred twenty-five million, nine hundred fifty-nine thousand, nine hundred thirty-three".