205354303000 has 192 divisors, whose sum is σ = 603642312000. Its totient is φ = 64006272000.

The previous prime is 205354302961. The next prime is 205354303001. The reversal of 205354303000 is 303453502.

It is a happy number.

205354303000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (205354303001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725776 + ... + 968224.

It is an arithmetic number, because the mean of its divisors is an integer number (3143970375).

Almost surely, 2^205354303000 is an apocalyptic number.

205354303000 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 205354303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301821156000).

205354303000 is an abundant number, since it is smaller than the sum of its proper divisors (398288009000).

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

205354303000 is a wasteful number, since it uses less digits than its factorization.

205354303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242499 (or 242474 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

Adding to 205354303000 its reverse (303453502), we get a palindrome (205657756502).

The spelling of 205354303000 in words is "two hundred five billion, three hundred fifty-four million, three hundred three thousand".