1005500611013 has 2 divisors, whose sum is σ = 1005500611014. Its totient is φ = 1005500611012.

The previous prime is 1005500611001. The next prime is 1005500611091. The reversal of 1005500611013 is 3101160055001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 878752506724 + 126748104289 = 937418^2 + 356017^2 .

It is an emirp because it is prime and its reverse (3101160055001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005500611013 - 2²⁴ = 1005483833797 is a prime.

It is a super-2 number, since 2×1005500611013² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005500611013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005500611513) by changing a digit.

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 as a sum of consecutive naturals, namely, 502750305506 + 502750305507.

It is an arithmetic number, because the mean of its divisors is an integer number (502750305507).

Almost surely, 2^{1005500611013} is an apocalyptic number.

It is an amenable number.

1005500611013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005500611013 is an equidigital number, since it uses as much as digits as its factorization.

1005500611013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 1005500611013 its reverse (3101160055001), we get a palindrome (4106660666014).

The spelling of 1005500611013 in words is "one trillion, five billion, five hundred million, six hundred eleven thousand, thirteen".