205213325200 has 60 divisors (see below), whose sum is σ = 530950028308. Its totient is φ = 75771072000.

The previous prime is 205213325159. The next prime is 205213325221. The reversal of 205213325200 is 2523312502.

It can be written as a sum of positive squares in 6 ways, for example, as 76682471056 + 128530854144 = 276916^2 + 358512^2 .

It is a super-2 number, since 2×205213325200² (a number of 23 digits) contains 22 as substring.

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

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, 19726851 + ... + 19737250.

Almost surely, 2^205213325200 is an apocalyptic number.

205213325200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205213325200 is an abundant number, since it is smaller than the sum of its proper divisors (325736703108).

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

205213325200 is a wasteful number, since it uses less digits than its factorization.

205213325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39464132 (or 39464121 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 205213325200 its reverse (2523312502), we get a palindrome (207736637702).

The spelling of 205213325200 in words is "two hundred five billion, two hundred thirteen million, three hundred twenty-five thousand, two hundred".