5006100006 has 48 divisors (see below), whose sum is σ = 11376963936. Its totient is φ = 1587852288.

The previous prime is 5006099941. The next prime is 5006100059. The reversal of 5006100006 is 6000016005.

5006100006 is a `hidden beast` number, since 50 + 0 + 610 + 0 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×5006100006² = 50122074540146400072, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48576 + ... + 111228.

It is an arithmetic number, because the mean of its divisors is an integer number (237020082).

Almost surely, 2^5006100006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006100006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688481968).

5006100006 is an abundant number, since it is smaller than the sum of its proper divisors (6370863930).

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

5006100006 is a wasteful number, since it uses less digits than its factorization.

5006100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62877 (or 62874 counting only the distinct ones).

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

The square root of 5006100006 is about 70753.7985270049. The cubic root of 5006100006 is about 1710.6710549779.

The spelling of 5006100006 in words is "five billion, six million, one hundred thousand, six".