505606505 has 16 divisors (see below), whose sum is σ = 615507984. Its totient is φ = 398668800.

The previous prime is 505606501. The next prime is 505606567.

505606505 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3308761 + 502297744 = 1819^2 + 22412^2 .

It is not a de Polignac number, because 505606505 - 2² = 505606501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505606501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115517 + ... + 119813.

It is an arithmetic number, because the mean of its divisors is an integer number (38469249).

Almost surely, 2^505606505 is an apocalyptic number.

It is an amenable number.

505606505 is a deficient number, since it is larger than the sum of its proper divisors (109901479).

505606505 is a wasteful number, since it uses less digits than its factorization.

505606505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636.

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 505606505 is about 22485.6955640692. The cubic root of 505606505 is about 796.6560970531.

The spelling of 505606505 in words is "five hundred five million, six hundred six thousand, five hundred five".