513288768 has 56 divisors (see below), whose sum is σ = 1364175072. Its totient is φ = 170328064.

The previous prime is 513288761. The next prime is 513288773. The reversal of 513288768 is 867882315.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (513288761) by changing a digit.

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, 37696 + ... + 49472.

Almost surely, 2^513288768 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 513288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682087536).

513288768 is an abundant number, since it is smaller than the sum of its proper divisors (850886304).

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

513288768 is a wasteful number, since it uses less digits than its factorization.

513288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019 (or 12009 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 513288768 is about 22655.8771183108. The cubic root of 513288768 is about 800.6706709268.

The spelling of 513288768 in words is "five hundred thirteen million, two hundred eighty-eight thousand, seven hundred sixty-eight".