1005134164641 has 24 divisors (see below), whose sum is σ = 1584876922720. Its totient is φ = 634821574752.

The previous prime is 1005134164631. The next prime is 1005134164663. The reversal of 1005134164641 is 1464614315001.

1005134164641 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 3 + 4 + 1 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 1005134164641 - 2¹⁰ = 1005134163617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005134164596 and 1005134164605.

It is not an unprimeable number, because it can be changed into a prime (1005134164631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108846820 + ... + 108856053.

Almost surely, 2^{1005134164641} is an apocalyptic number.

It is an amenable number.

1005134164641 is a deficient number, since it is larger than the sum of its proper divisors (579742758079).

1005134164641 is an equidigital number, since it uses as much as digits as its factorization.

1005134164641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217702907 (or 217702895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1005134164641 its reverse (1464614315001), we get a palindrome (2469748479642).

The spelling of 1005134164641 in words is "one trillion, five billion, one hundred thirty-four million, one hundred sixty-four thousand, six hundred forty-one".