505353305 has 8 divisors (see below), whose sum is σ = 642096072. Its totient is φ = 380501248.

The previous prime is 505353293. The next prime is 505353313. The reversal of 505353305 is 503353505.

It can be written as a sum of positive squares in 4 ways, for example, as 124791241 + 380562064 = 11171^2 + 19508^2 .

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 505353305 - 2⁸ = 505353049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2972582 + ... + 2972751.

It is an arithmetic number, because the mean of its divisors is an integer number (80262009).

Almost surely, 2^505353305 is an apocalyptic number.

It is an amenable number.

505353305 is a deficient number, since it is larger than the sum of its proper divisors (136742767).

505353305 is a wasteful number, since it uses less digits than its factorization.

505353305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945355.

The product of its (nonzero) digits is 16875, while the sum is 29.

The square root of 505353305 is about 22480.0646128965. The cubic root of 505353305 is about 796.5230904542.

The spelling of 505353305 in words is "five hundred five million, three hundred fifty-three thousand, three hundred five".