5005611006005 has 8 divisors (see below), whose sum is σ = 6032963484600. Its totient is φ = 3987001953216.

The previous prime is 5005611005977. The next prime is 5005611006041. The reversal of 5005611006005 is 5006001165005.

It can be written as a sum of positive squares in 4 ways, for example, as 2947975679089 + 2057635326916 = 1716967^2 + 1434446^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5005611006005 - 2⁸ = 5005611005749 is a prime.

It is a super-2 number, since 2×5005611006005² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2185855190 + ... + 2185857479.

It is an arithmetic number, because the mean of its divisors is an integer number (754120435575).

Almost surely, 2^{5005611006005} is an apocalyptic number.

It is an amenable number.

5005611006005 is a deficient number, since it is larger than the sum of its proper divisors (1027352478595).

5005611006005 is a wasteful number, since it uses less digits than its factorization.

5005611006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371712903.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 5005611006005 in words is "five trillion, five billion, six hundred eleven million, six thousand, five".