513332345513 has 16 divisors (see below), whose sum is σ = 581258595456. Its totient is φ = 449783368320.

The previous prime is 513332345453. The next prime is 513332345531. The reversal of 513332345513 is 315543233315.

It is not a de Polignac number, because 513332345513 - 2⁸ = 513332345257 is a prime.

It is a super-2 number, since 2×513332345513² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513332345563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6513620 + ... + 6591957.

It is an arithmetic number, because the mean of its divisors is an integer number (36328662216).

Almost surely, 2^513332345513 is an apocalyptic number.

It is an amenable number.

513332345513 is a deficient number, since it is larger than the sum of its proper divisors (67926249943).

513332345513 is a wasteful number, since it uses less digits than its factorization.

513332345513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105744.

The product of its digits is 243000, while the sum is 38.

Adding to 513332345513 its reverse (315543233315), we get a palindrome (828875578828).

The spelling of 513332345513 in words is "five hundred thirteen billion, three hundred thirty-two million, three hundred forty-five thousand, five hundred thirteen".