34413316241 has 2 divisors, whose sum is σ = 34413316242. Its totient is φ = 34413316240.

The previous prime is 34413316213. The next prime is 34413316253. The reversal of 34413316241 is 14261331443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34328307841 + 85008400 = 185279^2 + 9220^2 .

It is an emirp because it is prime and its reverse (14261331443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34413316241 - 2¹⁰ = 34413315217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34413316198 and 34413316207.

It is not a weakly prime, because it can be changed into another prime (34413316261) 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, 17206658120 + 17206658121.

It is an arithmetic number, because the mean of its divisors is an integer number (17206658121).

Almost surely, 2^34413316241 is an apocalyptic number.

It is an amenable number.

34413316241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34413316241 is an equidigital number, since it uses as much as digits as its factorization.

34413316241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 32.

Adding to 34413316241 its reverse (14261331443), we get a palindrome (48674647684).

The spelling of 34413316241 in words is "thirty-four billion, four hundred thirteen million, three hundred sixteen thousand, two hundred forty-one".