513205300 has 18 divisors (see below), whose sum is σ = 1113655718. Its totient is φ = 205282080.

The previous prime is 513205247. The next prime is 513205391. The reversal of 513205300 is 3502315.

It can be written as a sum of positive squares in 3 ways, for example, as 146023056 + 367182244 = 12084^2 + 19162^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2565927 + ... + 2566126.

Almost surely, 2^513205300 is an apocalyptic number.

513205300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513205300 is an abundant number, since it is smaller than the sum of its proper divisors (600450418).

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

513205300 is a wasteful number, since it uses less digits than its factorization.

513205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132067 (or 5132060 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 513205300 is about 22654.0349606864. The cubic root of 513205300 is about 800.6272684560.

Adding to 513205300 its reverse (3502315), we get a palindrome (516707615).

The spelling of 513205300 in words is "five hundred thirteen million, two hundred five thousand, three hundred".