12823546961 has 2 divisors, whose sum is σ = 12823546962. Its totient is φ = 12823546960.

The previous prime is 12823546919. The next prime is 12823546969. The reversal of 12823546961 is 16964532821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11912412736 + 911134225 = 109144^2 + 30185^2 .

It is an emirp because it is prime and its reverse (16964532821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12823546961 - 2¹⁰ = 12823545937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12823546969) 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, 6411773480 + 6411773481.

It is an arithmetic number, because the mean of its divisors is an integer number (6411773481).

Almost surely, 2^12823546961 is an apocalyptic number.

It is an amenable number.

12823546961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12823546961 is an equidigital number, since it uses as much as digits as its factorization.

12823546961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 622080, while the sum is 47.

The spelling of 12823546961 in words is "twelve billion, eight hundred twenty-three million, five hundred forty-six thousand, nine hundred sixty-one".