828241717201 has 2 divisors, whose sum is σ = 828241717202. Its totient is φ = 828241717200.

The previous prime is 828241717129. The next prime is 828241717211. The reversal of 828241717201 is 102717142828.

828241717201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 764435462400 + 63806254801 = 874320^2 + 252599^2 .

It is a cyclic number.

It is not a de Polignac number, because 828241717201 - 2¹¹ = 828241715153 is a prime.

It is a super-2 number, since 2×828241717201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (828241717211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414120858600 + 414120858601.

It is an arithmetic number, because the mean of its divisors is an integer number (414120858601).

Almost surely, 2^828241717201 is an apocalyptic number.

It is an amenable number.

828241717201 is a deficient number, since it is larger than the sum of its proper divisors (1).

828241717201 is an equidigital number, since it uses as much as digits as its factorization.

828241717201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100352, while the sum is 43.

The spelling of 828241717201 in words is "eight hundred twenty-eight billion, two hundred forty-one million, seven hundred seventeen thousand, two hundred one".