205000520 has 48 divisors (see below), whose sum is σ = 476699580. Its totient is φ = 79340160.

The previous prime is 205000517. The next prime is 205000529. The reversal of 205000520 is 25000502.

It can be written as a sum of positive squares in 2 ways, for example, as 187744804 + 17255716 = 13702^2 + 4154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205000495 and 205000504.

It is not an unprimeable number, because it can be changed into a prime (205000529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35774 + ... + 41106.

Almost surely, 2^205000520 is an apocalyptic number.

205000520 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 205000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238349790).

205000520 is an abundant number, since it is smaller than the sum of its proper divisors (271699060).

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

205000520 is a wasteful number, since it uses less digits than its factorization.

205000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 205000520 is about 14317.8392224525. The cubic root of 205000520 is about 589.6373525514.

The spelling of 205000520 in words is "two hundred five million, five hundred twenty", and thus it is an aban number.