205050245200 has 60 divisors (see below), whose sum is σ = 492678003420. Its totient is φ = 82012641280.

The previous prime is 205050245149. The next prime is 205050245321. The reversal of 205050245200 is 2542050502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42731504656 + 162318740544 = 206716^2 + 402888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7101192 + ... + 7130008.

It is an arithmetic number, because the mean of its divisors is an integer number (8211300057).

Almost surely, 2^205050245200 is an apocalyptic number.

205050245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205050245200 is an abundant number, since it is smaller than the sum of its proper divisors (287627758220).

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

205050245200 is a wasteful number, since it uses less digits than its factorization.

205050245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46624 (or 46613 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 205050245200 its reverse (2542050502), we get a palindrome (207592295702).

The spelling of 205050245200 in words is "two hundred five billion, fifty million, two hundred forty-five thousand, two hundred".