301406144144993 has 2 divisors, whose sum is σ = 301406144144994. Its totient is φ = 301406144144992.

The previous prime is 301406144144971. The next prime is 301406144145083. The reversal of 301406144144993 is 399441441604103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182493945577024 + 118912198567969 = 13509032^2 + 10904687^2 .

It is a cyclic number.

It is not a de Polignac number, because 301406144144993 - 2⁸ = 301406144144737 is a prime.

It is not a weakly prime, because it can be changed into another prime (301406144144933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150703072072496 + 150703072072497.

It is an arithmetic number, because the mean of its divisors is an integer number (150703072072497).

Almost surely, 2^{301406144144993} is an apocalyptic number.

It is an amenable number.

301406144144993 is a deficient number, since it is larger than the sum of its proper divisors (1).

301406144144993 is an equidigital number, since it uses as much as digits as its factorization.

301406144144993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 301406144144993 in words is "three hundred one trillion, four hundred six billion, one hundred forty-four million, one hundred forty-four thousand, nine hundred ninety-three".