205125212250 has 192 divisors, whose sum is σ = 634657959936. Its totient is φ = 46829376000.

The previous prime is 205125212233. The next prime is 205125212263. The reversal of 205125212250 is 52212521502.

It is a happy number.

205125212250 is a `hidden beast` number, since 20 + 51 + 2 + 521 + 22 + 50 = 666.

205125212250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 13868359 + ... + 13883141.

It is an arithmetic number, because the mean of its divisors is an integer number (3305510208).

Almost surely, 2^205125212250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205125212250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317328979968).

205125212250 is an abundant number, since it is smaller than the sum of its proper divisors (429532747686).

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

205125212250 is a wasteful number, since it uses less digits than its factorization.

205125212250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 205125212250 its reverse (52212521502), we get a palindrome (257337733752).

The spelling of 205125212250 in words is "two hundred five billion, one hundred twenty-five million, two hundred twelve thousand, two hundred fifty".