2005031215 has 32 divisors (see below), whose sum is σ = 2661523200. Its totient is φ = 1437937920.

The previous prime is 2005031173. The next prime is 2005031317. The reversal of 2005031215 is 5121305002.

It is not a de Polignac number, because 2005031215 - 2¹⁷ = 2004900143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005031192 and 2005031201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1245331 + ... + 1246939.

It is an arithmetic number, because the mean of its divisors is an integer number (83172600).

Almost surely, 2^2005031215 is an apocalyptic number.

2005031215 is a deficient number, since it is larger than the sum of its proper divisors (656491985).

2005031215 is a wasteful number, since it uses less digits than its factorization.

2005031215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2005031215 is about 44777.5749120025. The cubic root of 2005031215 is about 1260.9766541746.

Adding to 2005031215 its reverse (5121305002), we get a palindrome (7126336217).

The spelling of 2005031215 in words is "two billion, five million, thirty-one thousand, two hundred fifteen".