513424511205344 has 96 divisors (see below), whose sum is σ = 1044619202543616. Its totient is φ = 248143621340160.

The previous prime is 513424511205341. The next prime is 513424511205371. The reversal of 513424511205344 is 443502115424315.

It is a junction number, because it is equal to n+sod(n) for n = 513424511205295 and 513424511205304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513424511205341) 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, 15324715697 + ... + 15324749199.

It is an arithmetic number, because the mean of its divisors is an integer number (10881450026496).

Almost surely, 2^{513424511205344} 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 513424511205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522309601271808).

513424511205344 is an abundant number, since it is smaller than the sum of its proper divisors (531194691338272).

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

513424511205344 is a wasteful number, since it uses less digits than its factorization.

513424511205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50968 (or 50960 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 513424511205344 its reverse (443502115424315), we get a palindrome (956926626629659).

The spelling of 513424511205344 in words is "five hundred thirteen trillion, four hundred twenty-four billion, five hundred eleven million, two hundred five thousand, three hundred forty-four".