513322305 has 16 divisors (see below), whose sum is σ = 823690944. Its totient is φ = 272980160.

The previous prime is 513322289. The next prime is 513322307. The reversal of 513322305 is 503223315.

It is a happy number.

513322305 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 513322305 - 2⁴ = 513322289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513322307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44106 + ... + 54515.

It is an arithmetic number, because the mean of its divisors is an integer number (51480684).

Almost surely, 2^513322305 is an apocalyptic number.

It is an amenable number.

513322305 is a deficient number, since it is larger than the sum of its proper divisors (310368639).

513322305 is a wasteful number, since it uses less digits than its factorization.

513322305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98976.

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

The square root of 513322305 is about 22656.6172452994. The cubic root of 513322305 is about 800.6881084845.

The spelling of 513322305 in words is "five hundred thirteen million, three hundred twenty-two thousand, three hundred five".