1005533255113 has 2 divisors, whose sum is σ = 1005533255114. Its totient is φ = 1005533255112.

The previous prime is 1005533255101. The next prime is 1005533255141. The reversal of 1005533255113 is 3115523355001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001734751689 + 3798503424 = 1000867^2 + 61632^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005533255113 - 2¹⁷ = 1005533124041 is a prime.

It is a super-2 number, since 2×1005533255113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005533255183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502766627556 + 502766627557.

It is an arithmetic number, because the mean of its divisors is an integer number (502766627557).

Almost surely, 2^{1005533255113} is an apocalyptic number.

It is an amenable number.

1005533255113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005533255113 is an equidigital number, since it uses as much as digits as its factorization.

1005533255113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 34.

The spelling of 1005533255113 in words is "one trillion, five billion, five hundred thirty-three million, two hundred fifty-five thousand, one hundred thirteen".