2005124530005 has 72 divisors (see below), whose sum is σ = 3782142596232. Its totient is φ = 979290832896.

The previous prime is 2005124529949. The next prime is 2005124530007. The reversal of 2005124530005 is 5000354215002.

It is a happy number.

2005124530005 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 124 + 530 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 117627734961 + 1887496795044 = 342969^2 + 1373862^2 .

It is not a de Polignac number, because 2005124530005 - 2²⁷ = 2004990312277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005124530007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89989 + ... + 2004581.

It is an arithmetic number, because the mean of its divisors is an integer number (52529758281).

Almost surely, 2^{2005124530005} is an apocalyptic number.

It is an amenable number.

2005124530005 is a deficient number, since it is larger than the sum of its proper divisors (1777018066227).

2005124530005 is a wasteful number, since it uses less digits than its factorization.

2005124530005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914695 (or 1914655 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 2005124530005 its reverse (5000354215002), we get a palindrome (7005478745007).

The spelling of 2005124530005 in words is "two trillion, five billion, one hundred twenty-four million, five hundred thirty thousand, five".