513034305 has 16 divisors (see below), whose sum is σ = 938120064. Its totient is φ = 234529920.

The previous prime is 513034289. The next prime is 513034321. The reversal of 513034305 is 503430315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513034289) and next prime (513034321).

It is not a de Polignac number, because 513034305 - 2⁴ = 513034289 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442916 + ... + 2443125.

It is an arithmetic number, because the mean of its divisors is an integer number (58632504).

Almost surely, 2^513034305 is an apocalyptic number.

It is an amenable number.

513034305 is a deficient number, since it is larger than the sum of its proper divisors (425085759).

513034305 is a wasteful number, since it uses less digits than its factorization.

513034305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886056.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 513034305 is about 22650.2605945274. The cubic root of 513034305 is about 800.5383381796.

The spelling of 513034305 in words is "five hundred thirteen million, thirty-four thousand, three hundred five".