828069102001 has 8 divisors (see below), whose sum is σ = 830363998400. Its totient is φ = 825775760880.

The previous prime is 828069101989. The next prime is 828069102041. The reversal of 828069102001 is 100201960828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828069102001 - 2²⁵ = 828035547569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828069102041) 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 7 ways as a sum of consecutive naturals, for example, 681580 + ... + 1456258.

It is an arithmetic number, because the mean of its divisors is an integer number (103795499800).

Almost surely, 2^828069102001 is an apocalyptic number.

It is an amenable number.

828069102001 is a deficient number, since it is larger than the sum of its proper divisors (2294896399).

828069102001 is a wasteful number, since it uses less digits than its factorization.

828069102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777639.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 828069102001 in words is "eight hundred twenty-eight billion, sixty-nine million, one hundred two thousand, one".