820126289 has 2 divisors, whose sum is σ = 820126290. Its totient is φ = 820126288.

The previous prime is 820126283. The next prime is 820126337. The reversal of 820126289 is 982621028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600642064 + 219484225 = 24508^2 + 14815^2 .

It is a cyclic number.

It is not a de Polignac number, because 820126289 - 2²⁴ = 803349073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820126283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410063144 + 410063145.

It is an arithmetic number, because the mean of its divisors is an integer number (410063145).

Almost surely, 2^820126289 is an apocalyptic number.

It is an amenable number.

820126289 is a deficient number, since it is larger than the sum of its proper divisors (1).

820126289 is an equidigital number, since it uses as much as digits as its factorization.

820126289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 820126289 is about 28637.8471432473. The cubic root of 820126289 is about 936.0382107669.

The spelling of 820126289 in words is "eight hundred twenty million, one hundred twenty-six thousand, two hundred eighty-nine".