1005500611001 has 2 divisors, whose sum is σ = 1005500611002. Its totient is φ = 1005500611000.

The previous prime is 1005500610979. The next prime is 1005500611013. The reversal of 1005500611001 is 1001160055001.

1005500611001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997481587600 + 8019023401 = 998740^2 + 89549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005500611001 is a prime.

It is a super-2 number, since 2×1005500611001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005500611091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502750305500 + 502750305501.

It is an arithmetic number, because the mean of its divisors is an integer number (502750305501).

Almost surely, 2^{1005500611001} is an apocalyptic number.

It is an amenable number.

1005500611001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005500611001 is an equidigital number, since it uses as much as digits as its factorization.

1005500611001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1005500611001 its reverse (1001160055001), we get a palindrome (2006660666002).

The spelling of 1005500611001 in words is "one trillion, five billion, five hundred million, six hundred eleven thousand, one".