205350133300 has 72 divisors (see below), whose sum is σ = 480617676000. Its totient is φ = 75706216320.

The previous prime is 205350133283. The next prime is 205350133309. The reversal of 205350133300 is 3331053502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205350133309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736851 + ... + 976549.

It is an arithmetic number, because the mean of its divisors is an integer number (6675245500).

Almost surely, 2^205350133300 is an apocalyptic number.

205350133300 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 205350133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240308838000).

205350133300 is an abundant number, since it is smaller than the sum of its proper divisors (275267542700).

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

205350133300 is a wasteful number, since it uses less digits than its factorization.

205350133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240385 (or 240378 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 205350133300 its reverse (3331053502), we get a palindrome (208681186802).

The spelling of 205350133300 in words is "two hundred five billion, three hundred fifty million, one hundred thirty-three thousand, three hundred".