506005006056 has 64 divisors (see below), whose sum is σ = 1452645964800. Its totient is φ = 145264593600.

The previous prime is 506005006043. The next prime is 506005006057. The reversal of 506005006056 is 650600500605.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (506005006057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50434080 + ... + 50444111.

It is an arithmetic number, because the mean of its divisors is an integer number (22697593200).

Almost surely, 2^506005006056 is an apocalyptic number.

It is an amenable number.

506005006056 is an abundant number, since it is smaller than the sum of its proper divisors (946640958744).

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

506005006056 is a wasteful number, since it uses less digits than its factorization.

506005006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100878230 (or 100878226 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 506005006056 in words is "five hundred six billion, five million, six thousand, fifty-six".