1005415513133 has 2 divisors, whose sum is σ = 1005415513134. Its totient is φ = 1005415513132.

The previous prime is 1005415513129. The next prime is 1005415513217. The reversal of 1005415513133 is 3313155145001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 748039901449 + 257375611684 = 864893^2 + 507322^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005415513133 - 2² = 1005415513129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005415513133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005415513933) 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, 502707756566 + 502707756567.

It is an arithmetic number, because the mean of its divisors is an integer number (502707756567).

Almost surely, 2^{1005415513133} is an apocalyptic number.

It is an amenable number.

1005415513133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005415513133 is an equidigital number, since it uses as much as digits as its factorization.

1005415513133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 1005415513133 in words is "one trillion, five billion, four hundred fifteen million, five hundred thirteen thousand, one hundred thirty-three".