5000001006 has 128 divisors (see below), whose sum is σ = 13457396736. Its totient is φ = 1196052480.

The previous prime is 5000000989. The next prime is 5000001007. The reversal of 5000001006 is 6001000005.

It is a junction number, because it is equal to n+sod(n) for n = 5000000982 and 5000001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000001007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4041420 + ... + 4042656.

It is an arithmetic number, because the mean of its divisors is an integer number (105135912).

Almost surely, 2^5000001006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000001006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728698368).

5000001006 is an abundant number, since it is smaller than the sum of its proper divisors (8457395730).

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

5000001006 is a wasteful number, since it uses less digits than its factorization.

5000001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5000001006 is about 70710.6852321486. The cubic root of 5000001006 is about 1709.9760613591.

The spelling of 5000001006 in words is "five billion, one thousand, six".