305552252405161 has 2 divisors, whose sum is σ = 305552252405162. Its totient is φ = 305552252405160.

The previous prime is 305552252405159. The next prime is 305552252405207. The reversal of 305552252405161 is 161504252255503.

It is an a-pointer prime, because the next prime (305552252405207) can be obtained adding 305552252405161 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287112691360000 + 18439561045161 = 16944400^2 + 4294131^2 .

It is a cyclic number.

It is not a de Polignac number, because 305552252405161 - 2¹ = 305552252405159 is a prime.

It is a super-3 number, since 3×305552252405161³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 305552252405159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (305552252403161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152776126202580 + 152776126202581.

It is an arithmetic number, because the mean of its divisors is an integer number (152776126202581).

Almost surely, 2^{305552252405161} is an apocalyptic number.

It is an amenable number.

305552252405161 is a deficient number, since it is larger than the sum of its proper divisors (1).

305552252405161 is an equidigital number, since it uses as much as digits as its factorization.

305552252405161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800000, while the sum is 46.

The spelling of 305552252405161 in words is "three hundred five trillion, five hundred fifty-two billion, two hundred fifty-two million, four hundred five thousand, one hundred sixty-one".