505006506 has 24 divisors (see below), whose sum is σ = 1094726880. Its totient is φ = 168251496.

The previous prime is 505006501. The next prime is 505006517. The reversal of 505006506 is 605600505.

505006506 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 0 + 650 + 6 = 666.

It is a super-2 number, since 2×505006506² = 510063142204656072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505006506.

It is not an unprimeable number, because it can be changed into a prime (505006501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37825 + ... + 49403.

It is an arithmetic number, because the mean of its divisors is an integer number (45613620).

Almost surely, 2^505006506 is an apocalyptic number.

505006506 is an abundant number, since it is smaller than the sum of its proper divisors (589720374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505006506 is a wasteful number, since it uses less digits than its factorization.

505006506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505006506 is about 22472.3498103781. The cubic root of 505006506 is about 796.3408439473.

The spelling of 505006506 in words is "five hundred five million, six thousand, five hundred six".