513154245331513 has 2 divisors, whose sum is σ = 513154245331514. Its totient is φ = 513154245331512.

The previous prime is 513154245331447. The next prime is 513154245331571. The reversal of 513154245331513 is 315133542451315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 371789469476649 + 141364775854864 = 19281843^2 + 11889692^2 .

It is a cyclic number.

It is not a de Polignac number, because 513154245331513 - 2²¹ = 513154243234361 is a prime.

It is not a weakly prime, because it can be changed into another prime (513154245334513) 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, 256577122665756 + 256577122665757.

It is an arithmetic number, because the mean of its divisors is an integer number (256577122665757).

Almost surely, 2^{513154245331513} is an apocalyptic number.

It is an amenable number.

513154245331513 is a deficient number, since it is larger than the sum of its proper divisors (1).

513154245331513 is an equidigital number, since it uses as much as digits as its factorization.

513154245331513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620000, while the sum is 46.

Adding to 513154245331513 its reverse (315133542451315), we get a palindrome (828287787782828).

The spelling of 513154245331513 in words is "five hundred thirteen trillion, one hundred fifty-four billion, two hundred forty-five million, three hundred thirty-one thousand, five hundred thirteen".