205113951000 has 480 divisors, whose sum is σ = 834062486400. Its totient is φ = 46882281600.

The previous prime is 205113950983. The next prime is 205113951011. The reversal of 205113951000 is 159311502.

205113951000 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 (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 3943161 + ... + 3994839.

It is an arithmetic number, because the mean of its divisors is an integer number (1737630180).

Almost surely, 2^205113951000 is an apocalyptic number.

205113951000 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 205113951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417031243200).

205113951000 is an abundant number, since it is smaller than the sum of its proper divisors (628948535400).

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

205113951000 is a wasteful number, since it uses less digits than its factorization.

205113951000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51726 (or 51696 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 205113951000 in words is "two hundred five billion, one hundred thirteen million, nine hundred fifty-one thousand".