505005536 has 144 divisors (see below), whose sum is σ = 1253296800. Its totient is φ = 195944448.

The previous prime is 505005521. The next prime is 505005559. The reversal of 505005536 is 635500505.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 505005499 and 505005508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877210 + ... + 1877478.

It is an arithmetic number, because the mean of its divisors is an integer number (8703450).

Almost surely, 2^505005536 is an apocalyptic number.

505005536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626648400).

505005536 is an abundant number, since it is smaller than the sum of its proper divisors (748291264).

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

505005536 is a wasteful number, since it uses less digits than its factorization.

505005536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 505005536 is about 22472.3282282900. The cubic root of 505005536 is about 796.3403340851.

The spelling of 505005536 in words is "five hundred five million, five thousand, five hundred thirty-six".