513443332122344 has 128 divisors (see below), whose sum is σ = 1046630894400000. Its totient is φ = 236125569139200.

The previous prime is 513443332122323. The next prime is 513443332122359. The reversal of 513443332122344 is 443221233344315.

It is a junction number, because it is equal to n+sod(n) for n = 513443332122295 and 513443332122304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16392926204 + ... + 16392957524.

It is an arithmetic number, because the mean of its divisors is an integer number (8176803862500).

Almost surely, 2^{513443332122344} 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 513443332122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523315447200000).

513443332122344 is an abundant number, since it is smaller than the sum of its proper divisors (533187562277656).

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

513443332122344 is a wasteful number, since it uses less digits than its factorization.

513443332122344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34676 (or 34646 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 44.

Adding to 513443332122344 its reverse (443221233344315), we get a palindrome (956664565466659).

The spelling of 513443332122344 in words is "five hundred thirteen trillion, four hundred forty-three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred forty-four".