513038300 has 72 divisors (see below), whose sum is σ = 1149624336. Its totient is φ = 198581760.

The previous prime is 513038269. The next prime is 513038311. The reversal of 513038300 is 3830315.

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 23 ways as a sum of consecutive naturals, for example, 1157879 + ... + 1158321.

Almost surely, 2^513038300 is an apocalyptic number.

513038300 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 513038300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574812168).

513038300 is an abundant number, since it is smaller than the sum of its proper divisors (636586036).

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

513038300 is a wasteful number, since it uses less digits than its factorization.

513038300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 513038300 is about 22650.3487831865. The cubic root of 513038300 is about 800.5404161058.

Adding to 513038300 its reverse (3830315), we get a palindrome (516868615).

The spelling of 513038300 in words is "five hundred thirteen million, thirty-eight thousand, three hundred".