2005253122 has 64 divisors (see below), whose sum is σ = 3440136960. Its totient is φ = 870912000.

The previous prime is 2005253093. The next prime is 2005253123. The reversal of 2005253122 is 2213525002.

It is a junction number, because it is equal to n+sod(n) for n = 2005253093 and 2005253102.

It is not an unprimeable number, because it can be changed into a prime (2005253123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5950138 + ... + 5950474.

It is an arithmetic number, because the mean of its divisors is an integer number (53752140).

Almost surely, 2^2005253122 is an apocalyptic number.

2005253122 is a deficient number, since it is larger than the sum of its proper divisors (1434883838).

2005253122 is a wasteful number, since it uses less digits than its factorization.

2005253122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2005253122 is about 44780.0527243995. The cubic root of 2005253122 is about 1261.0231720246.

Adding to 2005253122 its reverse (2213525002), we get a palindrome (4218778124).

The spelling of 2005253122 in words is "two billion, five million, two hundred fifty-three thousand, one hundred twenty-two".