507305 has 8 divisors (see below), whose sum is σ = 612744. Its totient is φ = 403200.

The previous prime is 507301. The next prime is 507313. The reversal of 507305 is 503705.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 502681 = 68^2 + 709^2 .

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

It is not a de Polignac number, because 507305 - 2² = 507301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507301) by changing a digit.

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, 995 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (76593).

2⁵⁰⁷³⁰⁵ is an apocalyptic number.

It is an amenable number.

507305 is a deficient number, since it is larger than the sum of its proper divisors (105439).

507305 is a wasteful number, since it uses less digits than its factorization.

507305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 507305 is about 712.2534661200. The cubic root of 507305 is about 79.7547174746.

Subtracting from 507305 its reverse (503705), we obtain a square (3600 = 60²).

The spelling of 507305 in words is "five hundred seven thousand, three hundred five".