305313011041009 has 2 divisors, whose sum is σ = 305313011041010. Its totient is φ = 305313011041008.

The previous prime is 305313011040977. The next prime is 305313011041097. The reversal of 305313011041009 is 900140110313503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295158413030625 + 10154598010384 = 17180175^2 + 3186628^2 .

It is an emirp because it is prime and its reverse (900140110313503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305313011041009 - 2⁵ = 305313011040977 is a prime.

It is not a weakly prime, because it can be changed into another prime (305313011011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152656505520504 + 152656505520505.

It is an arithmetic number, because the mean of its divisors is an integer number (152656505520505).

Almost surely, 2^{305313011041009} is an apocalyptic number.

It is an amenable number.

305313011041009 is a deficient number, since it is larger than the sum of its proper divisors (1).

305313011041009 is an equidigital number, since it uses as much as digits as its factorization.

305313011041009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 31.

The spelling of 305313011041009 in words is "three hundred five trillion, three hundred thirteen billion, eleven million, forty-one thousand, nine".