1005500611005 has 48 divisors (see below), whose sum is σ = 1872372220992. Its totient is φ = 458838054400.

The previous prime is 1005500611001. The next prime is 1005500611013. The reversal of 1005500611005 is 5001160055001.

It is not a de Polignac number, because 1005500611005 - 2² = 1005500611001 is a prime.

It is a super-2 number, since 2×1005500611005² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005500611001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16263111 + ... + 16324820.

It is an arithmetic number, because the mean of its divisors is an integer number (39007754604).

Almost surely, 2^{1005500611005} is an apocalyptic number.

1005500611005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005500611005 is a deficient number, since it is larger than the sum of its proper divisors (866871609987).

1005500611005 is a wasteful number, since it uses less digits than its factorization.

1005500611005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32587978 (or 32587967 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 1005500611005 its reverse (5001160055001), we get a palindrome (6006660666006).

The spelling of 1005500611005 in words is "one trillion, five billion, five hundred million, six hundred eleven thousand, five".