2012122513 has 2 divisors, whose sum is σ = 2012122514. Its totient is φ = 2012122512.

The previous prime is 2012122447. The next prime is 2012122517. The reversal of 2012122513 is 3152212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 938380689 = 32768^2 + 30633^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012122513 - 2⁹ = 2012122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012122517) 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, 1006061256 + 1006061257.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061257).

Almost surely, 2^2012122513 is an apocalyptic number.

It is an amenable number.

2012122513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012122513 is an equidigital number, since it uses as much as digits as its factorization.

2012122513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2012122513 is about 44856.6886093925. The cubic root of 2012122513 is about 1262.4614922477.

Adding to 2012122513 its reverse (3152212102), we get a palindrome (5164334615).

The spelling of 2012122513 in words is "two billion, twelve million, one hundred twenty-two thousand, five hundred thirteen".