513959720674048 has 144 divisors (see below), whose sum is σ = 1122211594183680. Its totient is φ = 232985364480000.

The previous prime is 513959720674031. The next prime is 513959720674067. The reversal of 513959720674048 is 840476027959315.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537304088 + ... + 1537638376.

It is an arithmetic number, because the mean of its divisors is an integer number (7793136070720).

It is a 1-persistent number, because it is pandigital, but 2⋅513959720674048 = 1027919441348096 is not.

Almost surely, 2^{513959720674048} 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 513959720674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561105797091840).

513959720674048 is an abundant number, since it is smaller than the sum of its proper divisors (608251873509632).

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

513959720674048 is a wasteful number, since it uses less digits than its factorization.

513959720674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335794 (or 335780 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 70.

The spelling of 513959720674048 in words is "five hundred thirteen trillion, nine hundred fifty-nine billion, seven hundred twenty million, six hundred seventy-four thousand, forty-eight".