3805363256041 has 2 divisors, whose sum is σ = 3805363256042. Its totient is φ = 3805363256040.

The previous prime is 3805363256003. The next prime is 3805363256069. The reversal of 3805363256041 is 1406523635083.

3805363256041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3689841442816 + 115521813225 = 1920896^2 + 339885^2 .

It is a cyclic number.

It is not a de Polignac number, because 3805363256041 - 2²⁷ = 3805229038313 is a prime.

It is a super-2 number, since 2×3805363256041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3805363255982 and 3805363256000.

It is not a weakly prime, because it can be changed into another prime (3805363259041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1902681628020 + 1902681628021.

It is an arithmetic number, because the mean of its divisors is an integer number (1902681628021).

Almost surely, 2^{3805363256041} is an apocalyptic number.

It is an amenable number.

3805363256041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3805363256041 is an equidigital number, since it uses as much as digits as its factorization.

3805363256041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 3805363256041 in words is "three trillion, eight hundred five billion, three hundred sixty-three million, two hundred fifty-six thousand, forty-one".