2005314123 has 16 divisors (see below), whose sum is σ = 2762484480. Its totient is φ = 1292943456.

The previous prime is 2005314121. The next prime is 2005314137. The reversal of 2005314123 is 3214135002.

It is not a de Polignac number, because 2005314123 - 2¹ = 2005314121 is a prime.

It is a super-3 number, since 3×2005314123³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005314123.

It is not an unprimeable number, because it can be changed into a prime (2005314121) 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, 35553 + ... + 72626.

It is an arithmetic number, because the mean of its divisors is an integer number (172655280).

Almost surely, 2^2005314123 is an apocalyptic number.

2005314123 is a deficient number, since it is larger than the sum of its proper divisors (757170357).

2005314123 is a wasteful number, since it uses less digits than its factorization.

2005314123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108386.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2005314123 is about 44780.7338372207. The cubic root of 2005314123 is about 1261.0359589214.

Adding to 2005314123 its reverse (3214135002), we get a palindrome (5219449125).

The spelling of 2005314123 in words is "two billion, five million, three hundred fourteen thousand, one hundred twenty-three".