2005542123 has 16 divisors (see below), whose sum is σ = 2941026816. Its totient is φ = 1207919520.

The previous prime is 2005542113. The next prime is 2005542127. The reversal of 2005542123 is 3212455002.

It is not a de Polignac number, because 2005542123 - 2⁹ = 2005541611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005542093 and 2005542102.

It is not an unprimeable number, because it can be changed into a prime (2005542127) 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, 545233 + ... + 548898.

It is an arithmetic number, because the mean of its divisors is an integer number (183814176).

Almost surely, 2^2005542123 is an apocalyptic number.

2005542123 is a deficient number, since it is larger than the sum of its proper divisors (935484693).

2005542123 is a wasteful number, since it uses less digits than its factorization.

2005542123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094194.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2005542123 is about 44783.2795025108. The cubic root of 2005542123 is about 1261.0837494894.

Adding to 2005542123 its reverse (3212455002), we get a palindrome (5217997125).

The spelling of 2005542123 in words is "two billion, five million, five hundred forty-two thousand, one hundred twenty-three".