205525000 has 48 divisors (see below), whose sum is σ = 481726980. Its totient is φ = 82200000.

The previous prime is 205524971. The next prime is 205525007. The reversal of 205525000 is 525502.

It can be written as a sum of positive squares in 6 ways, for example, as 1435204 + 204089796 = 1198^2 + 14286^2 .

It is not an unprimeable number, because it can be changed into a prime (205525007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20890 + ... + 29110.

Almost surely, 2^205525000 is an apocalyptic number.

205525000 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 205525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240863490).

205525000 is an abundant number, since it is smaller than the sum of its proper divisors (276201980).

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

205525000 is an frugal number, since it uses more digits than its factorization.

205525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 205525000 is about 14336.1431354462. The cubic root of 205525000 is about 590.1397734535.

It can be divided in two parts, 20552 and 5000, that added together give a palindrome (25552).

The spelling of 205525000 in words is "two hundred five million, five hundred twenty-five thousand".