2005112154241 has 12 divisors (see below), whose sum is σ = 2376486414612. Its totient is φ = 1686239868768.

The previous prime is 2005112154239. The next prime is 2005112154251. The reversal of 2005112154241 is 1424512115002.

It can be written as a sum of positive squares in 2 ways, for example, as 689778419841 + 1315333734400 = 830529^2 + 1146880^2 .

It is not a de Polignac number, because 2005112154241 - 2¹ = 2005112154239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005112154251) 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 11 ways as a sum of consecutive naturals, for example, 386041330 + ... + 386046523.

It is an arithmetic number, because the mean of its divisors is an integer number (198040534551).

Almost surely, 2^{2005112154241} is an apocalyptic number.

It is an amenable number.

2005112154241 is a deficient number, since it is larger than the sum of its proper divisors (371374260371).

2005112154241 is an equidigital number, since it uses as much as digits as its factorization.

2005112154241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772087920 (or 772087913 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 2005112154241 its reverse (1424512115002), we get a palindrome (3429624269243).

The spelling of 2005112154241 in words is "two trillion, five billion, one hundred twelve million, one hundred fifty-four thousand, two hundred forty-one".