501006006000 has 320 divisors, whose sum is σ = 1798648450560. Its totient is φ = 133308806400.

The previous prime is 501006005989. The next prime is 501006006019. The reversal of 501006006000 is 600600105.

501006006000 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 0 + 60 + 0 + 600 + 0 = 666.

501006006000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25208067 + ... + 25227933.

It is an arithmetic number, because the mean of its divisors is an integer number (5620776408).

Almost surely, 2^501006006000 is an apocalyptic number.

501006006000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501006006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899324225280).

501006006000 is an abundant number, since it is smaller than the sum of its proper divisors (1297642444560).

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

501006006000 is a wasteful number, since it uses less digits than its factorization.

501006006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20366 (or 20344 counting only the distinct ones).

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

Adding to 501006006000 its reverse (600600105), we get a palindrome (501606606105).

The spelling of 501006006000 in words is "five hundred one billion, six million, six thousand".