5001006001000 has 128 divisors (see below), whose sum is σ = 12060997977600. Its totient is φ = 1939876819200.

The previous prime is 5001006000989. The next prime is 5001006001003. The reversal of 5001006001000 is 1006001005.

It is a super-3 number, since 3×5001006001000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5001006001003) 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, 4634907 + ... + 5611093.

It is an arithmetic number, because the mean of its divisors is an integer number (94226546700).

Almost surely, 2^{5001006001000} is an apocalyptic number.

5001006001000 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 5001006001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030498988800).

5001006001000 is an abundant number, since it is smaller than the sum of its proper divisors (7059991976600).

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

5001006001000 is a wasteful number, since it uses less digits than its factorization.

5001006001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976364 (or 976350 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The spelling of 5001006001000 in words is "five trillion, one billion, six million, one thousand".