5001011005005 has 80 divisors (see below), whose sum is σ = 9320985439920. Its totient is φ = 2562159817728.

The previous prime is 5001011004953. The next prime is 5001011005019. The reversal of 5001011005005 is 5005001101005.

5001011005005 is a `hidden beast` number, since 50 + 0 + 1 + 0 + 110 + 0 + 500 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1337637972969 + 3663373032036 = 1156563^2 + 1913994^2 .

It is not a de Polignac number, because 5001011005005 - 2⁷ = 5001011004877 is a prime.

It is a super-2 number, since 2×5001011005005² (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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1233057 + ... + 3394473.

It is an arithmetic number, because the mean of its divisors is an integer number (116512317999).

Almost surely, 2^{5001011005005} is an apocalyptic number.

It is an amenable number.

5001011005005 is a deficient number, since it is larger than the sum of its proper divisors (4319974434915).

5001011005005 is a wasteful number, since it uses less digits than its factorization.

5001011005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161660 (or 2161651 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 5001011005005 in words is "five trillion, one billion, eleven million, five thousand, five".