513030300 has 144 divisors (see below), whose sum is σ = 1552504800. Its totient is φ = 130636800.

The previous prime is 513030299. The next prime is 513030317. The reversal of 513030300 is 3030315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 513030300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948030 + ... + 948570.

Almost surely, 2^513030300 is an apocalyptic number.

513030300 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 513030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776252400).

513030300 is an abundant number, since it is smaller than the sum of its proper divisors (1039474500).

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

513030300 is a wasteful number, since it uses less digits than its factorization.

513030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 513030300 is about 22650.1721847760. The cubic root of 513030300 is about 800.5362550412.

Adding to 513030300 its sum of digits (15), we get a palindrome (513030315).

Adding to 513030300 its reverse (3030315), we get a palindrome (516060615).

The spelling of 513030300 in words is "five hundred thirteen million, thirty thousand, three hundred".