205300257300 has 216 divisors, whose sum is σ = 677830331360. Its totient is φ = 51830150400.

The previous prime is 205300257269. The next prime is 205300257341. The reversal of 205300257300 is 3752003502.

205300257300 is a `hidden beast` number, since 2 + 0 + 5 + 300 + 2 + 57 + 300 = 666.

205300257300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 33051195 + ... + 33057405.

Almost surely, 2^205300257300 is an apocalyptic number.

205300257300 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 205300257300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338915165680).

205300257300 is an abundant number, since it is smaller than the sum of its proper divisors (472530074060).

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

205300257300 is a wasteful number, since it uses less digits than its factorization.

205300257300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The spelling of 205300257300 in words is "two hundred five billion, three hundred million, two hundred fifty-seven thousand, three hundred".