505004661 has 48 divisors (see below), whose sum is σ = 852062848. Its totient is φ = 282268800.

The previous prime is 505004641. The next prime is 505004671. The reversal of 505004661 is 166400505.

It is a happy number.

It is not a de Polignac number, because 505004661 - 2¹⁰ = 505003637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505004641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763671 + ... + 764331.

Almost surely, 2^505004661 is an apocalyptic number.

It is an amenable number.

505004661 is a deficient number, since it is larger than the sum of its proper divisors (347058187).

505004661 is a wasteful number, since it uses less digits than its factorization.

505004661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 505004661 is about 22472.3087598938. The cubic root of 505004661 is about 796.3398741573.

The spelling of 505004661 in words is "five hundred five million, four thousand, six hundred sixty-one".