5005610510005 has 16 divisors (see below), whose sum is σ = 6889620090240. Its totient is φ = 3420027225792.

The previous prime is 5005610509957. The next prime is 5005610510023. The reversal of 5005610510005 is 5000150165005.

It is a cyclic number.

It is not a de Polignac number, because 5005610510005 - 2¹¹ = 5005610507957 is a prime.

It is a super-2 number, since 2×5005610510005² (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, 258144535 + ... + 258163924.

It is an arithmetic number, because the mean of its divisors is an integer number (430601255640).

Almost surely, 2^{5005610510005} is an apocalyptic number.

It is an amenable number.

5005610510005 is a deficient number, since it is larger than the sum of its proper divisors (1884009580235).

5005610510005 is a wasteful number, since it uses less digits than its factorization.

5005610510005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516308748.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 5005610510005 in words is "five trillion, five billion, six hundred ten million, five hundred ten thousand, five".