1005605061119 has 16 divisors (see below), whose sum is σ = 1020296217600. Its totient is φ = 990994145856.

The previous prime is 1005605061091. The next prime is 1005605061169. The reversal of 1005605061119 is 9111605065001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005605061119 is a prime.

It is a super-2 number, since 2×1005605061119² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605061169) 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 in 15 ways as a sum of consecutive naturals, for example, 38393702 + ... + 38419884.

It is an arithmetic number, because the mean of its divisors is an integer number (63768513600).

Almost surely, 2^{1005605061119} is an apocalyptic number.

1005605061119 is a deficient number, since it is larger than the sum of its proper divisors (14691156481).

1005605061119 is an equidigital number, since it uses as much as digits as its factorization.

1005605061119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694.

The product of its (nonzero) digits is 8100, while the sum is 35.

The spelling of 1005605061119 in words is "one trillion, five billion, six hundred five million, sixty-one thousand, one hundred nineteen".