2005053200 has 30 divisors (see below), whose sum is σ = 4817141274. Its totient is φ = 802021120.

The previous prime is 2005053191. The next prime is 2005053203. The reversal of 2005053200 is 23505002.

It can be written as a sum of positive squares in 3 ways, for example, as 643738384 + 1361314816 = 25372^2 + 36896^2 .

It is not an unprimeable number, because it can be changed into a prime (2005053203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505917 + ... + 2506716.

Almost surely, 2^2005053200 is an apocalyptic number.

2005053200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005053200 is an abundant number, since it is smaller than the sum of its proper divisors (2812088074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005053200 is a wasteful number, since it uses less digits than its factorization.

2005053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012651 (or 5012640 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2005053200 is about 44777.8204025162. The cubic root of 2005053200 is about 1260.9812629923.

Adding to 2005053200 its reverse (23505002), we get a palindrome (2028558202).

The spelling of 2005053200 in words is "two billion, five million, fifty-three thousand, two hundred".