513303300 has 108 divisors (see below), whose sum is σ = 1619254000. Its totient is φ = 136002240.

The previous prime is 513303229. The next prime is 513303319. The reversal of 513303300 is 3303315.

513303300 is a `hidden beast` number, since 5 + 1 + 330 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144951 + ... + 148449.

Almost surely, 2^513303300 is an apocalyptic number.

513303300 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 513303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809627000).

513303300 is an abundant number, since it is smaller than the sum of its proper divisors (1105950700).

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

513303300 is a wasteful number, since it uses less digits than its factorization.

513303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 513303300 is about 22656.1978275261. The cubic root of 513303300 is about 800.6782269311.

Adding to 513303300 its reverse (3303315), we get a palindrome (516606615).

The spelling of 513303300 in words is "five hundred thirteen million, three hundred three thousand, three hundred".