513033305 has 8 divisors (see below), whose sum is σ = 632279112. Its totient is φ = 399333888.

The previous prime is 513033299. The next prime is 513033349. The reversal of 513033305 is 503330315.

It can be written as a sum of positive squares in 4 ways, for example, as 202322176 + 310711129 = 14224^2 + 17627^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513033305 - 2⁸ = 513033049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1386392 + ... + 1386761.

It is an arithmetic number, because the mean of its divisors is an integer number (79034889).

Almost surely, 2^513033305 is an apocalyptic number.

It is an amenable number.

513033305 is a deficient number, since it is larger than the sum of its proper divisors (119245807).

513033305 is a wasteful number, since it uses less digits than its factorization.

513033305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773195.

The product of its (nonzero) digits is 2025, while the sum is 23.

The square root of 513033305 is about 22650.2385197154. The cubic root of 513033305 is about 800.5378180462.

The spelling of 513033305 in words is "five hundred thirteen million, thirty-three thousand, three hundred five".