1005300411411 has 16 divisors (see below), whose sum is σ = 1411016630400. Its totient is φ = 634895667648.

The previous prime is 1005300411403. The next prime is 1005300411413. The reversal of 1005300411411 is 1141140035001.

It is not a de Polignac number, because 1005300411411 - 2³ = 1005300411403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005300411413) 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 15 ways as a sum of consecutive naturals, for example, 781615 + ... + 1619111.

It is an arithmetic number, because the mean of its divisors is an integer number (88188539400).

Almost surely, 2^{1005300411411} is an apocalyptic number.

1005300411411 is a deficient number, since it is larger than the sum of its proper divisors (405716218989).

1005300411411 is a wasteful number, since it uses less digits than its factorization.

1005300411411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858578.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1005300411411 its reverse (1141140035001), we get a palindrome (2146440446412).

The spelling of 1005300411411 in words is "one trillion, five billion, three hundred million, four hundred eleven thousand, four hundred eleven".