500601006 has 64 divisors (see below), whose sum is σ = 1200225600. Its totient is φ = 154073088.

The previous prime is 500601001. The next prime is 500601029. The reversal of 500601006 is 600106005.

500601006 is a `hidden beast` number, since 500 + 60 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 500601006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500601001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43510 + ... + 53798.

It is an arithmetic number, because the mean of its divisors is an integer number (18753525).

Almost surely, 2^500601006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500601006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600112800).

500601006 is an abundant number, since it is smaller than the sum of its proper divisors (699624594).

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

500601006 is a wasteful number, since it uses less digits than its factorization.

500601006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 500601006 is about 22374.1146417015. The cubic root of 500601006 is about 794.0184111697.

The spelling of 500601006 in words is "five hundred million, six hundred one thousand, six".