5006116005 has 32 divisors (see below), whose sum is σ = 8824491648. Its totient is φ = 2403168000.

The previous prime is 5006115977. The next prime is 5006116009.

5006116005 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5006116005 - 2¹⁴ = 5006099621 is a prime.

It is a super-2 number, since 2×5006116005² = 50122394911034320050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006116009) 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, 133534 + ... + 166863.

It is an arithmetic number, because the mean of its divisors is an integer number (275765364).

Almost surely, 2^5006116005 is an apocalyptic number.

5006116005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5006116005 is a deficient number, since it is larger than the sum of its proper divisors (3818375643).

5006116005 is a wasteful number, since it uses less digits than its factorization.

5006116005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300517.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5006116005 is about 70753.9115879822. The cubic root of 5006116005 is about 1710.6728773544.

It can be divided in two parts, 50061 and 16005, that added together give a palindrome (66066).

The spelling of 5006116005 in words is "five billion, six million, one hundred sixteen thousand, five".