5006105606005 has 16 divisors (see below), whose sum is σ = 6865636354560. Its totient is φ = 3432698082432.

The previous prime is 5006105605997. The next prime is 5006105606011. The reversal of 5006105606005 is 5006065016005.

It is a cyclic number.

It is not a de Polignac number, because 5006105606005 - 2³ = 5006105605997 is a prime.

It is a super-2 number, since 2×5006105606005² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 827076 + ... + 3270514.

It is an arithmetic number, because the mean of its divisors is an integer number (429102272160).

Almost surely, 2^{5006105606005} is an apocalyptic number.

It is an amenable number.

5006105606005 is a deficient number, since it is larger than the sum of its proper divisors (1859530748555).

5006105606005 is a wasteful number, since it uses less digits than its factorization.

5006105606005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501988.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 5006105606005 in words is "five trillion, six billion, one hundred five million, six hundred six thousand, five".