3005157211 has 48 divisors (see below), whose sum is σ = 3792898560. Its totient is φ = 2366159040.

The previous prime is 3005157163. The next prime is 3005157217. The reversal of 3005157211 is 1127515003.

It is not a de Polignac number, because 3005157211 - 2⁹ = 3005156699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3005157217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10848805 + ... + 10849081.

It is an arithmetic number, because the mean of its divisors is an integer number (79018720).

Almost surely, 2^3005157211 is an apocalyptic number.

3005157211 is a deficient number, since it is larger than the sum of its proper divisors (787741349).

3005157211 is a wasteful number, since it uses less digits than its factorization.

3005157211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 3005157211 is about 54819.3142149735. The cubic root of 3005157211 is about 1443.0755400046.

The spelling of 3005157211 in words is "three billion, five million, one hundred fifty-seven thousand, two hundred eleven".