2813312641 has 2 divisors, whose sum is σ = 2813312642. Its totient is φ = 2813312640.

The previous prime is 2813312627. The next prime is 2813312683. The reversal of 2813312641 is 1462133182.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2801479041 + 11833600 = 52929^2 + 3440^2 .

It is a cyclic number.

It is not a de Polignac number, because 2813312641 - 2¹¹ = 2813310593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2813312611) 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 as a sum of consecutive naturals, namely, 1406656320 + 1406656321.

It is an arithmetic number, because the mean of its divisors is an integer number (1406656321).

Almost surely, 2^2813312641 is an apocalyptic number.

It is an amenable number.

2813312641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2813312641 is an equidigital number, since it uses as much as digits as its factorization.

2813312641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 2813312641 is about 53040.6696884570. The cubic root of 2813312641 is about 1411.6899812448.

The spelling of 2813312641 in words is "two billion, eight hundred thirteen million, three hundred twelve thousand, six hundred forty-one".