205325520 has 120 divisors (see below), whose sum is σ = 651776736. Its totient is φ = 53458944.

The previous prime is 205325513. The next prime is 205325521. The reversal of 205325520 is 25523502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205325521) 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 23 ways as a sum of consecutive naturals, for example, 1816984 + ... + 1817096.

Almost surely, 2^205325520 is an apocalyptic number.

205325520 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 205325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325888368).

205325520 is an abundant number, since it is smaller than the sum of its proper divisors (446451216).

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

205325520 is a wasteful number, since it uses less digits than its factorization.

205325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 205325520 is about 14329.1842056692. The cubic root of 205325520 is about 589.9487842165.

The spelling of 205325520 in words is "two hundred five million, three hundred twenty-five thousand, five hundred twenty".