34441010081 has 2 divisors, whose sum is σ = 34441010082. Its totient is φ = 34441010080.

The previous prime is 34441010069. The next prime is 34441010099. The reversal of 34441010081 is 18001014443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31821208225 + 2619801856 = 178385^2 + 51184^2 .

It is an emirp because it is prime and its reverse (18001014443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34441010081 is a prime.

It is a super-2 number, since 2×34441010081² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34441010081.

It is not a weakly prime, because it can be changed into another prime (34441010381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220505040 + 17220505041.

It is an arithmetic number, because the mean of its divisors is an integer number (17220505041).

Almost surely, 2^34441010081 is an apocalyptic number.

It is an amenable number.

34441010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441010081 is an equidigital number, since it uses as much as digits as its factorization.

34441010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 34441010081 in words is "thirty-four billion, four hundred forty-one million, ten thousand, eighty-one".