513687305 has 8 divisors (see below), whose sum is σ = 616940232. Its totient is φ = 410606208.

The previous prime is 513687277. The next prime is 513687323. The reversal of 513687305 is 503786315.

It can be written as a sum of positive squares in 4 ways, for example, as 81504784 + 432182521 = 9028^2 + 20789^2 .

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 513687305 - 2⁸ = 513687049 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36284 + ... + 48413.

It is an arithmetic number, because the mean of its divisors is an integer number (77117529).

Almost surely, 2^513687305 is an apocalyptic number.

It is an amenable number.

513687305 is a deficient number, since it is larger than the sum of its proper divisors (103252927).

513687305 is a wasteful number, since it uses less digits than its factorization.

513687305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85915.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 513687305 is about 22664.6708557614. The cubic root of 513687305 is about 800.8778410790.

The spelling of 513687305 in words is "five hundred thirteen million, six hundred eighty-seven thousand, three hundred five".