205313053000 has 128 divisors (see below), whose sum is σ = 524569219200. Its totient is φ = 74593632000.

The previous prime is 205313052991. The next prime is 205313053013. The reversal of 205313053000 is 350313502.

It is a happy number.

205313053000 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 (22).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13511407 + ... + 13526593.

It is an arithmetic number, because the mean of its divisors is an integer number (4098197025).

Almost surely, 2^205313053000 is an apocalyptic number.

205313053000 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 205313053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262284609600).

205313053000 is an abundant number, since it is smaller than the sum of its proper divisors (319256166200).

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

205313053000 is a wasteful number, since it uses less digits than its factorization.

205313053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

Adding to 205313053000 its reverse (350313502), we get a palindrome (205663366502).

The spelling of 205313053000 in words is "two hundred five billion, three hundred thirteen million, fifty-three thousand".