513280716 has 48 divisors (see below), whose sum is σ = 1297480800. Its totient is φ = 157924416.

The previous prime is 513280667. The next prime is 513280721. The reversal of 513280716 is 617082315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16630 + ... + 36098.

It is an arithmetic number, because the mean of its divisors is an integer number (27030850).

Almost surely, 2^513280716 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 513280716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648740400).

513280716 is an abundant number, since it is smaller than the sum of its proper divisors (784200084).

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

513280716 is a wasteful number, since it uses less digits than its factorization.

513280716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19487 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 513280716 is about 22655.6994153789. The cubic root of 513280716 is about 800.6664841777. Note that the first 3 decimals are identical.

The spelling of 513280716 in words is "five hundred thirteen million, two hundred eighty thousand, seven hundred sixteen".