515305 has 8 divisors (see below), whose sum is σ = 706752. Its totient is φ = 353328.

The previous prime is 515293. The next prime is 515311. The reversal of 515305 is 503515.

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 515305 - 2⁹ = 514793 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7327 + ... + 7396.

It is an arithmetic number, because the mean of its divisors is an integer number (88344).

2⁵¹⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

515305 is a deficient number, since it is larger than the sum of its proper divisors (191447).

515305 is a wasteful number, since it uses less digits than its factorization.

515305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 515305 is about 717.8474768361. The cubic root of 515305 is about 80.1717663567.

It can be divided in two parts, 515 and 305, that added together give a triangular number (820 = T₄₀).

The spelling of 515305 in words is "five hundred fifteen thousand, three hundred five".