828041813201 has 16 divisors (see below), whose sum is σ = 888921921600. Its totient is φ = 768518005248.

The previous prime is 828041813191. The next prime is 828041813231. The reversal of 828041813201 is 102318140828.

It is a cyclic number.

It is not a de Polignac number, because 828041813201 - 2¹⁰ = 828041812177 is a prime.

It is a super-3 number, since 3×828041813201³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828041813231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7114010 + ... + 7229468.

It is an arithmetic number, because the mean of its divisors is an integer number (55557620100).

Almost surely, 2^828041813201 is an apocalyptic number.

It is an amenable number.

828041813201 is a deficient number, since it is larger than the sum of its proper divisors (60880108399).

828041813201 is a wasteful number, since it uses less digits than its factorization.

828041813201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121328.

The product of its (nonzero) digits is 24576, while the sum is 38.

The spelling of 828041813201 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, two hundred one".