507805056 has 144 divisors (see below), whose sum is σ = 1606621380. Its totient is φ = 153838080.

The previous prime is 507805037. The next prime is 507805069. The reversal of 507805056 is 650508705.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 507805056.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 137571 + ... + 141213.

Almost surely, 2^507805056 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 507805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803310690).

507805056 is an abundant number, since it is smaller than the sum of its proper divisors (1098816324).

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

507805056 is a wasteful number, since it uses less digits than its factorization.

507805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 507805056 is about 22534.5303035142. The cubic root of 507805056 is about 797.8091389703.

The spelling of 507805056 in words is "five hundred seven million, eight hundred five thousand, fifty-six".