828559953 has 12 divisors (see below), whose sum is σ = 1288871220. Its totient is φ = 509882976.

The previous prime is 828559937. The next prime is 828559969. The reversal of 828559953 is 359955828.

828559953 is a `hidden beast` number, since 82 + 8 + 559 + 9 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (828559937) and next prime (828559969).

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 791690769 = 6072^2 + 28137^2 .

It is not a de Polignac number, because 828559953 - 2⁴ = 828559937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828559953.

It is not an unprimeable number, because it can be changed into a prime (828559933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3540738 + ... + 3540971.

It is an arithmetic number, because the mean of its divisors is an integer number (107405935).

Almost surely, 2^828559953 is an apocalyptic number.

It is an amenable number.

828559953 is a deficient number, since it is larger than the sum of its proper divisors (460311267).

828559953 is a wasteful number, since it uses less digits than its factorization.

828559953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081728 (or 7081725 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The square root of 828559953 is about 28784.7173514002. The cubic root of 828559953 is about 939.2358181076.

The spelling of 828559953 in words is "eight hundred twenty-eight million, five hundred fifty-nine thousand, nine hundred fifty-three".