34822540252289 has 2 divisors, whose sum is σ = 34822540252290. Its totient is φ = 34822540252288.

The previous prime is 34822540252207. The next prime is 34822540252333. The reversal of 34822540252289 is 98225204522843.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26627746603264 + 8194793649025 = 5160208^2 + 2862655^2 .

It is a cyclic number.

It is not a de Polignac number, because 34822540252289 - 2⁸ = 34822540252033 is a prime.

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 (34822540252889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17411270126144 + 17411270126145.

It is an arithmetic number, because the mean of its divisors is an integer number (17411270126145).

Almost surely, 2^{34822540252289} is an apocalyptic number.

It is an amenable number.

34822540252289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34822540252289 is an equidigital number, since it uses as much as digits as its factorization.

34822540252289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22118400, while the sum is 56.

The spelling of 34822540252289 in words is "thirty-four trillion, eight hundred twenty-two billion, five hundred forty million, two hundred fifty-two thousand, two hundred eighty-nine".