5005605005001 has 8 divisors (see below), whose sum is σ = 7415711118560. Its totient is φ = 3337070003316.

The previous prime is 5005605004993. The next prime is 5005605005017. The reversal of 5005605005001 is 1005005065005.

5005605005001 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 605 + 0 + 0 + 50 + 0 + 1 = 666.

It is not a de Polignac number, because 5005605005001 - 2³ = 5005605004993 is a prime.

It is a super-2 number, since 2×5005605005001² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 185392777963 = 5005605005001 / (5 + 0 + 0 + 5 + 6 + 0 + 5 + 0 + 0 + 5 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5005605005041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92696388955 + ... + 92696389008.

It is an arithmetic number, because the mean of its divisors is an integer number (926963889820).

Almost surely, 2^{5005605005001} is an apocalyptic number.

It is an amenable number.

5005605005001 is a deficient number, since it is larger than the sum of its proper divisors (2410106113559).

5005605005001 is a wasteful number, since it uses less digits than its factorization.

5005605005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185392777972 (or 185392777966 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 5005605005001 in words is "five trillion, five billion, six hundred five million, five thousand, one".