2005253300 has 36 divisors (see below), whose sum is σ = 4353390636. Its totient is φ = 801734400.

The previous prime is 2005253269. The next prime is 2005253311. The reversal of 2005253300 is 33525002.

It can be written as a sum of positive squares in 6 ways, for example, as 210714256 + 1794539044 = 14516^2 + 42362^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356510 + ... + 362090.

Almost surely, 2^2005253300 is an apocalyptic number.

2005253300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005253300 is an abundant number, since it is smaller than the sum of its proper divisors (2348137336).

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

2005253300 is a wasteful number, since it uses less digits than its factorization.

2005253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2005253300 is about 44780.0547118915. The cubic root of 2005253300 is about 1261.0232093369.

Adding to 2005253300 its reverse (33525002), we get a palindrome (2038778302).

The spelling of 2005253300 in words is "two billion, five million, two hundred fifty-three thousand, three hundred".