503365506 has 64 divisors (see below), whose sum is σ = 1178800128. Its totient is φ = 140329728.

The previous prime is 503365483. The next prime is 503365523. The reversal of 503365506 is 605563305.

It is an unprimeable number.

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, 317191 + ... + 318773.

It is an arithmetic number, because the mean of its divisors is an integer number (18418752).

Almost surely, 2^503365506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503365506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589400064).

503365506 is an abundant number, since it is smaller than the sum of its proper divisors (675434622).

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

503365506 is a wasteful number, since it uses less digits than its factorization.

503365506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 503365506 is about 22435.8085657727. The cubic root of 503365506 is about 795.4773479122.

The spelling of 503365506 in words is "five hundred three million, three hundred sixty-five thousand, five hundred six".