305346541626121 has 2 divisors, whose sum is σ = 305346541626122. Its totient is φ = 305346541626120.

The previous prime is 305346541626109. The next prime is 305346541626151. The reversal of 305346541626121 is 121626145643503.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272810925626121 + 32535616000000 = 16516989^2 + 5704000^2 .

It is a cyclic number.

It is not a de Polignac number, because 305346541626121 - 2⁵ = 305346541626089 is a prime.

It is not a weakly prime, because it can be changed into another prime (305346541626151) 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, 152673270813060 + 152673270813061.

It is an arithmetic number, because the mean of its divisors is an integer number (152673270813061).

Almost surely, 2^{305346541626121} is an apocalyptic number.

It is an amenable number.

305346541626121 is a deficient number, since it is larger than the sum of its proper divisors (1).

305346541626121 is an equidigital number, since it uses as much as digits as its factorization.

305346541626121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 305346541626121 in words is "three hundred five trillion, three hundred forty-six billion, five hundred forty-one million, six hundred twenty-six thousand, one hundred twenty-one".