5105511011005 has 16 divisors (see below), whose sum is σ = 6276204177264. Its totient is φ = 3984686622720.

The previous prime is 5105511010891. The next prime is 5105511011033. The reversal of 5105511011005 is 5001101155015.

5105511011005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2186012519289 + 2919498491716 = 1478517^2 + 1708654^2 .

It is not a de Polignac number, because 5105511011005 - 2¹⁵ = 5105510978237 is a prime.

It is a super-2 number, since 2×5105511011005² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8227177 + ... + 8825953.

It is an arithmetic number, because the mean of its divisors is an integer number (392262761079).

Almost surely, 2^{5105511011005} is an apocalyptic number.

It is an amenable number.

5105511011005 is a deficient number, since it is larger than the sum of its proper divisors (1170693166259).

5105511011005 is a wasteful number, since it uses less digits than its factorization.

5105511011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640416.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 5105511011005 in words is "five trillion, one hundred five billion, five hundred eleven million, eleven thousand, five".