828061972959 has 16 divisors (see below), whose sum is σ = 1197566115200. Its totient is φ = 505910576736.

The previous prime is 828061972891. The next prime is 828061972963. The reversal of 828061972959 is 959279160828.

It is a happy number.

It is not a de Polignac number, because 828061972959 - 2⁷ = 828061972831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828061972959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828061974959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76369969 + ... + 76380810.

It is an arithmetic number, because the mean of its divisors is an integer number (74847882200).

Almost surely, 2^828061972959 is an apocalyptic number.

828061972959 is a deficient number, since it is larger than the sum of its proper divisors (369504142241).

828061972959 is a wasteful number, since it uses less digits than its factorization.

828061972959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152750934.

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 828061972959 in words is "eight hundred twenty-eight billion, sixty-one million, nine hundred seventy-two thousand, nine hundred fifty-nine".