515311144000013 has 2 divisors, whose sum is σ = 515311144000014. Its totient is φ = 515311144000012.

The previous prime is 515311143999997. The next prime is 515311144000099. The reversal of 515311144000013 is 310000441113515.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292814452159684 + 222496691840329 = 17111822^2 + 14916323^2 .

It is a cyclic number.

It is not a de Polignac number, because 515311144000013 - 2⁴ = 515311143999997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 515311144000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (515311144000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257655572000006 + 257655572000007.

It is an arithmetic number, because the mean of its divisors is an integer number (257655572000007).

Almost surely, 2^{515311144000013} is an apocalyptic number.

It is an amenable number.

515311144000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

515311144000013 is an equidigital number, since it uses as much as digits as its factorization.

515311144000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 515311144000013 its reverse (310000441113515), we get a palindrome (825311585113528).

The spelling of 515311144000013 in words is "five hundred fifteen trillion, three hundred eleven billion, one hundred forty-four million, thirteen", and thus it is an aban number.