2005253000 has 128 divisors (see below), whose sum is σ = 4846832640. Its totient is φ = 776160000.

The previous prime is 2005252981. The next prime is 2005253021. The reversal of 2005253000 is 3525002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005253000.

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, 4330769 + ... + 4331231.

It is an arithmetic number, because the mean of its divisors is an integer number (37865880).

Almost surely, 2^2005253000 is an apocalyptic number.

2005253000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423416320).

2005253000 is an abundant number, since it is smaller than the sum of its proper divisors (2841579640).

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

2005253000 is a wasteful number, since it uses less digits than its factorization.

2005253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

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

The square root of 2005253000 is about 44780.0513621858. The cubic root of 2005253000 is about 1261.0231464510.

Adding to 2005253000 its reverse (3525002), we get a palindrome (2008778002).

The spelling of 2005253000 in words is "two billion, five million, two hundred fifty-three thousand".