513328640 has 80 divisors (see below), whose sum is σ = 1342748880. Its totient is φ = 186654720.

The previous prime is 513328631. The next prime is 513328657. The reversal of 513328640 is 46823315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 513328597 and 513328606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19046 + ... + 37274.

It is an arithmetic number, because the mean of its divisors is an integer number (16784361).

Almost surely, 2^513328640 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 513328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671374440).

513328640 is an abundant number, since it is smaller than the sum of its proper divisors (829420240).

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

513328640 is a wasteful number, since it uses less digits than its factorization.

513328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 513328640 is about 22656.7570494985. The cubic root of 513328640 is about 800.6914022815.

The spelling of 513328640 in words is "five hundred thirteen million, three hundred twenty-eight thousand, six hundred forty".