305412814961 has 2 divisors, whose sum is σ = 305412814962. Its totient is φ = 305412814960.

The previous prime is 305412814909. The next prime is 305412814963. The reversal of 305412814961 is 169418214503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228880912225 + 76531902736 = 478415^2 + 276644^2 .

It is a cyclic number.

It is not a de Polignac number, because 305412814961 - 2¹⁸ = 305412552817 is a prime.

Together with 305412814963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (305412814963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152706407480 + 152706407481.

It is an arithmetic number, because the mean of its divisors is an integer number (152706407481).

Almost surely, 2^305412814961 is an apocalyptic number.

It is an amenable number.

305412814961 is a deficient number, since it is larger than the sum of its proper divisors (1).

305412814961 is an equidigital number, since it uses as much as digits as its factorization.

305412814961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 305412814961 in words is "three hundred five billion, four hundred twelve million, eight hundred fourteen thousand, nine hundred sixty-one".