3005305503041 has 2 divisors, whose sum is σ = 3005305503042. Its totient is φ = 3005305503040.

The previous prime is 3005305502981. The next prime is 3005305503049. The reversal of 3005305503041 is 1403055035003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2747372550400 + 257932952641 = 1657520^2 + 507871^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005305503041 - 2⁶ = 3005305502977 is a prime.

It is a super-2 number, since 2×3005305503041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005305502995 and 3005305503013.

It is not a weakly prime, because it can be changed into another prime (3005305503049) 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, 1502652751520 + 1502652751521.

It is an arithmetic number, because the mean of its divisors is an integer number (1502652751521).

Almost surely, 2^{3005305503041} is an apocalyptic number.

It is an amenable number.

3005305503041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005305503041 is an equidigital number, since it uses as much as digits as its factorization.

3005305503041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 3005305503041 in words is "three trillion, five billion, three hundred five million, five hundred three thousand, forty-one".