305405605613341 has 2 divisors, whose sum is σ = 305405605613342. Its totient is φ = 305405605613340.

The previous prime is 305405605613233. The next prime is 305405605613419. The reversal of 305405605613341 is 143316506504503.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305355389285241 + 50216328100 = 17474421^2 + 224090^2 .

It is a cyclic number.

It is not a de Polignac number, because 305405605613341 - 2¹⁵ = 305405605580573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305405605613291 and 305405605613300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305405605617341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152702802806670 + 152702802806671.

It is an arithmetic number, because the mean of its divisors is an integer number (152702802806671).

Almost surely, 2^{305405605613341} is an apocalyptic number.

It is an amenable number.

305405605613341 is a deficient number, since it is larger than the sum of its proper divisors (1).

305405605613341 is an equidigital number, since it uses as much as digits as its factorization.

305405605613341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 305405605613341 in words is "three hundred five trillion, four hundred five billion, six hundred five million, six hundred thirteen thousand, three hundred forty-one".