2005012993 has 2 divisors, whose sum is σ = 2005012994. Its totient is φ = 2005012992.

The previous prime is 2005012979. The next prime is 2005013029. The reversal of 2005012993 is 3992105002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1315005169 + 690007824 = 36263^2 + 26268^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005012993 - 2⁹ = 2005012481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005012193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002506496 + 1002506497.

It is an arithmetic number, because the mean of its divisors is an integer number (1002506497).

Almost surely, 2^2005012993 is an apocalyptic number.

It is an amenable number.

2005012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005012993 is an equidigital number, since it uses as much as digits as its factorization.

2005012993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 2005012993 is about 44777.3714391544. The cubic root of 2005012993 is about 1260.9728341865.

Adding to 2005012993 its reverse (3992105002), we get a palindrome (5997117995).

The spelling of 2005012993 in words is "two billion, five million, twelve thousand, nine hundred ninety-three".