513332343342 has 96 divisors (see below), whose sum is σ = 1370150326272. Its totient is φ = 135259336512.

The previous prime is 513332343341. The next prime is 513332343347. The reversal of 513332343342 is 243343233315.

513332343342 is a `hidden beast` number, since 51 + 3 + 33 + 234 + 3 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513332343297 and 513332343306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513332343341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636353 + ... + 1924659.

It is an arithmetic number, because the mean of its divisors is an integer number (14272399232).

Almost surely, 2^513332343342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513332343342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685075163136).

513332343342 is an abundant number, since it is smaller than the sum of its proper divisors (856817982930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513332343342 is a wasteful number, since it uses less digits than its factorization.

513332343342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289422 (or 289419 counting only the distinct ones).

The product of its digits is 233280, while the sum is 36.

Adding to 513332343342 its reverse (243343233315), we get a palindrome (756675576657).

The spelling of 513332343342 in words is "five hundred thirteen billion, three hundred thirty-two million, three hundred forty-three thousand, three hundred forty-two".