305413555421021 has 2 divisors, whose sum is σ = 305413555421022. Its totient is φ = 305413555421020.

The previous prime is 305413555420979. The next prime is 305413555421053. The reversal of 305413555421021 is 120124555314503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210278130940900 + 95135424480121 = 14500970^2 + 9753739^2 .

It is an emirp because it is prime and its reverse (120124555314503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305413555421021 - 2⁴² = 301015508909917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 305413555421021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305413555421321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152706777710510 + 152706777710511.

It is an arithmetic number, because the mean of its divisors is an integer number (152706777710511).

Almost surely, 2^{305413555421021} is an apocalyptic number.

It is an amenable number.

305413555421021 is a deficient number, since it is larger than the sum of its proper divisors (1).

305413555421021 is an equidigital number, since it uses as much as digits as its factorization.

305413555421021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 305413555421021 in words is "three hundred five trillion, four hundred thirteen billion, five hundred fifty-five million, four hundred twenty-one thousand, twenty-one".