519130368 has 108 divisors (see below), whose sum is σ = 1503842340. Its totient is φ = 172228608.

The previous prime is 519130361. The next prime is 519130373. The reversal of 519130368 is 863031915.

It is a happy number.

519130368 is a `hidden beast` number, since 519 + 130 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370485504 + 148644864 = 19248^2 + 12192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (519130361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 674688 + ... + 675456.

Almost surely, 2^519130368 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 519130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751921170).

519130368 is an abundant number, since it is smaller than the sum of its proper divisors (984711972).

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

519130368 is a wasteful number, since it uses less digits than its factorization.

519130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 519130368 is about 22784.4325801631. The cubic root of 519130368 is about 803.6966257215.

The spelling of 519130368 in words is "five hundred nineteen million, one hundred thirty thousand, three hundred sixty-eight".