828241717129 has 2 divisors, whose sum is σ = 828241717130. Its totient is φ = 828241717128.

The previous prime is 828241717111. The next prime is 828241717201. The reversal of 828241717129 is 921717142828.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 736507240000 + 91734477129 = 858200^2 + 302877^2 .

It is a cyclic number.

It is not a de Polignac number, because 828241717129 - 2³⁵ = 793881978761 is a prime.

It is not a weakly prime, because it can be changed into another prime (828241717829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414120858564 + 414120858565.

It is an arithmetic number, because the mean of its divisors is an integer number (414120858565).

Almost surely, 2^828241717129 is an apocalyptic number.

It is an amenable number.

828241717129 is a deficient number, since it is larger than the sum of its proper divisors (1).

828241717129 is an equidigital number, since it uses as much as digits as its factorization.

828241717129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 903168, while the sum is 52.

The spelling of 828241717129 in words is "eight hundred twenty-eight billion, two hundred forty-one million, seven hundred seventeen thousand, one hundred twenty-nine".