513730000 has 200 divisors, whose sum is σ = 1464281280. Its totient is φ = 170880000.

The previous prime is 513729977. The next prime is 513730031. The reversal of 513730000 is 37315.

513730000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 513730000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2869911 + ... + 2870089.

Almost surely, 2^513730000 is an apocalyptic number.

513730000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732140640).

513730000 is an abundant number, since it is smaller than the sum of its proper divisors (950551280).

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

513730000 is a wasteful number, since it uses less digits than its factorization.

513730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 513730000 is about 22665.6127205950. The cubic root of 513730000 is about 800.9000287223.

Adding to 513730000 its reverse (37315), we get a palindrome (513767315).

The spelling of 513730000 in words is "five hundred thirteen million, seven hundred thirty thousand".