513343523313 has 6 divisors (see below), whose sum is σ = 741496200354. Its totient is φ = 342229015536.

The previous prime is 513343523309. The next prime is 513343523317. The reversal of 513343523313 is 313325343315.

513343523313 is a `hidden beast` number, since 5 + 1 + 334 + 3 + 5 + 2 + 3 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (513343523309) and next prime (513343523317).

It can be written as a sum of positive squares in only one way, i.e., 359751642849 + 153591880464 = 599793^2 + 391908^2 .

It is not a de Polignac number, because 513343523313 - 2² = 513343523309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513343523317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28519084620 + ... + 28519084637.

It is an arithmetic number, because the mean of its divisors is an integer number (123582700059).

Almost surely, 2^513343523313 is an apocalyptic number.

It is an amenable number.

513343523313 is a deficient number, since it is larger than the sum of its proper divisors (228152677041).

513343523313 is a wasteful number, since it uses less digits than its factorization.

513343523313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57038169263 (or 57038169260 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

Adding to 513343523313 its reverse (313325343315), we get a palindrome (826668866628).

The spelling of 513343523313 in words is "five hundred thirteen billion, three hundred forty-three million, five hundred twenty-three thousand, three hundred thirteen".