513835305 has 8 divisors (see below), whose sum is σ = 822136512. Its totient is φ = 274045488.

The previous prime is 513835303. The next prime is 513835327. The reversal of 513835305 is 503538315.

It is a happy number.

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

It is not a de Polignac number, because 513835305 - 2¹ = 513835303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513835303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17127829 + ... + 17127858.

It is an arithmetic number, because the mean of its divisors is an integer number (102767064).

Almost surely, 2^513835305 is an apocalyptic number.

It is an amenable number.

513835305 is a deficient number, since it is larger than the sum of its proper divisors (308301207).

513835305 is a wasteful number, since it uses less digits than its factorization.

513835305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34255695.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 513835305 is about 22667.9356139901. The cubic root of 513835305 is about 800.9547481375.

The spelling of 513835305 in words is "five hundred thirteen million, eight hundred thirty-five thousand, three hundred five".