505506056 has 96 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 218592000.

The previous prime is 505506037. The next prime is 505506107. The reversal of 505506056 is 650605505.

It is a super-5 number, since 5×505506056⁵ (a number of 45 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1865201 + ... + 1865471.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 2^505506056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505506056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

505506056 is an abundant number, since it is smaller than the sum of its proper divisors (588456184).

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

505506056 is a wasteful number, since it uses less digits than its factorization.

505506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

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

The square root of 505506056 is about 22483.4618330897. The cubic root of 505506056 is about 796.6033362549.

The spelling of 505506056 in words is "five hundred five million, five hundred six thousand, fifty-six".