513342306 has 16 divisors (see below), whose sum is σ = 1140760800. Its totient is φ = 171114084.

The previous prime is 513342289. The next prime is 513342341. The reversal of 513342306 is 603243315.

It is a happy number.

513342306 is a `hidden beast` number, since 5 + 13 + 342 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 513342306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4753116 + ... + 4753223.

It is an arithmetic number, because the mean of its divisors is an integer number (71297550).

Almost surely, 2^513342306 is an apocalyptic number.

513342306 is an abundant number, since it is smaller than the sum of its proper divisors (627418494).

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

513342306 is a wasteful number, since it uses less digits than its factorization.

513342306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506350 (or 9506344 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 513342306 is about 22657.0586352245. The cubic root of 513342306 is about 800.6985076397.

The spelling of 513342306 in words is "five hundred thirteen million, three hundred forty-two thousand, three hundred six".