500505600606 has 256 divisors, whose sum is σ = 1220591877120. Its totient is φ = 135023616000.

The previous prime is 500505600563. The next prime is 500505600619. The reversal of 500505600606 is 606006505005.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 915000825 + ... + 915001371.

It is an arithmetic number, because the mean of its divisors is an integer number (4767937020).

Almost surely, 2^500505600606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500505600606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610295938560).

500505600606 is an abundant number, since it is smaller than the sum of its proper divisors (720086276514).

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

500505600606 is a wasteful number, since it uses less digits than its factorization.

500505600606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131.

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

The spelling of 500505600606 in words is "five hundred billion, five hundred five million, six hundred thousand, six hundred six".