513343523057 has 2 divisors, whose sum is σ = 513343523058. Its totient is φ = 513343523056.

The previous prime is 513343523047. The next prime is 513343523149. The reversal of 513343523057 is 750325343315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 453920197696 + 59423325361 = 673736^2 + 243769^2 .

It is a cyclic number.

It is not a de Polignac number, because 513343523057 - 2²⁰ = 513342474481 is a prime.

It is a super-3 number, since 3×513343523057³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (513343523047) 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, 256671761528 + 256671761529.

It is an arithmetic number, because the mean of its divisors is an integer number (256671761529).

Almost surely, 2^513343523057 is an apocalyptic number.

It is an amenable number.

513343523057 is a deficient number, since it is larger than the sum of its proper divisors (1).

513343523057 is an equidigital number, since it uses as much as digits as its factorization.

513343523057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567000, while the sum is 41.

The spelling of 513343523057 in words is "five hundred thirteen billion, three hundred forty-three million, five hundred twenty-three thousand, fifty-seven".