513344235444 has 96 divisors (see below), whose sum is σ = 1278551433600. Its totient is φ = 159744737280.

The previous prime is 513344235403. The next prime is 513344235449. The reversal of 513344235444 is 444532443315.

It is a junction number, because it is equal to n+sod(n) for n = 513344235396 and 513344235405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513344235449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33480772 + ... + 33496100.

It is an arithmetic number, because the mean of its divisors is an integer number (13318244100).

Almost surely, 2^513344235444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513344235444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639275716800).

513344235444 is an abundant number, since it is smaller than the sum of its proper divisors (765207198156).

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

513344235444 is a wasteful number, since it uses less digits than its factorization.

513344235444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16673 (or 16671 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

Adding to 513344235444 its reverse (444532443315), we get a palindrome (957876678759).

The spelling of 513344235444 in words is "five hundred thirteen billion, three hundred forty-four million, two hundred thirty-five thousand, four hundred forty-four".