505305 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 254016.

The previous prime is 505301. The next prime is 505313. The reversal of 505305 is 503505.

It is not a de Polignac number, because 505305 - 2² = 505301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505301) 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 31 ways as a sum of consecutive naturals, for example, 2467 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁵⁰⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

505305 is a deficient number, since it is larger than the sum of its proper divisors (445095).

505305 is a wasteful number, since it uses less digits than its factorization.

505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 505305 is about 710.8480850365. The cubic root of 505305 is about 79.6497710670.

The spelling of 505305 in words is "five hundred five thousand, three hundred five".