828055753289 has 2 divisors, whose sum is σ = 828055753290. Its totient is φ = 828055753288.

The previous prime is 828055753271. The next prime is 828055753297. The reversal of 828055753289 is 982357550828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 771468858889 + 56586894400 = 878333^2 + 237880^2 .

It is a cyclic number.

It is not a de Polignac number, because 828055753289 - 2⁸ = 828055753033 is a prime.

It is a super-3 number, since 3×828055753289³ (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (828055753589) 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 as a sum of consecutive naturals, namely, 414027876644 + 414027876645.

It is an arithmetic number, because the mean of its divisors is an integer number (414027876645).

Almost surely, 2^828055753289 is an apocalyptic number.

It is an amenable number.

828055753289 is a deficient number, since it is larger than the sum of its proper divisors (1).

828055753289 is an equidigital number, since it uses as much as digits as its factorization.

828055753289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384000, while the sum is 62.

The spelling of 828055753289 in words is "eight hundred twenty-eight billion, fifty-five million, seven hundred fifty-three thousand, two hundred eighty-nine".