513660288 has 128 divisors (see below), whose sum is σ = 1499155200. Its totient is φ = 155105280.

The previous prime is 513660247. The next prime is 513660289. The reversal of 513660288 is 882066315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513660289) 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, 166278 + ... + 169338.

It is an arithmetic number, because the mean of its divisors is an integer number (11712150).

Almost surely, 2^513660288 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 513660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749577600).

513660288 is an abundant number, since it is smaller than the sum of its proper divisors (985494912).

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

513660288 is a wasteful number, since it uses less digits than its factorization.

513660288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 513660288 is about 22664.0748322097. The cubic root of 513660288 is about 800.8638003089.

The spelling of 513660288 in words is "five hundred thirteen million, six hundred sixty thousand, two hundred eighty-eight".