3005101241 has 2 divisors, whose sum is σ = 3005101242. Its totient is φ = 3005101240.

The previous prime is 3005101217. The next prime is 3005101247. The reversal of 3005101241 is 1421015003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2268521641 + 736579600 = 47629^2 + 27140^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005101241 - 2¹⁴ = 3005084857 is a prime.

It is not a weakly prime, because it can be changed into another prime (3005101247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502550620 + 1502550621.

It is an arithmetic number, because the mean of its divisors is an integer number (1502550621).

Almost surely, 2^3005101241 is an apocalyptic number.

It is an amenable number.

3005101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005101241 is an equidigital number, since it uses as much as digits as its factorization.

3005101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 3005101241 is about 54818.8037173377. The cubic root of 3005101241 is about 1443.0665810235.

Adding to 3005101241 its reverse (1421015003), we get a palindrome (4426116244).

The spelling of 3005101241 in words is "three billion, five million, one hundred one thousand, two hundred forty-one".