205010520 has 192 divisors, whose sum is σ = 727315200. Its totient is φ = 45826560.

The previous prime is 205010503. The next prime is 205010539. The reversal of 205010520 is 25010502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205010520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222621 + ... + 223539.

It is an arithmetic number, because the mean of its divisors is an integer number (3788100).

Almost surely, 2^205010520 is an apocalyptic number.

205010520 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 205010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363657600).

205010520 is an abundant number, since it is smaller than the sum of its proper divisors (522304680).

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

205010520 is a wasteful number, since it uses less digits than its factorization.

205010520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205010520 is about 14318.1884328989. The cubic root of 205010520 is about 589.6469399704.

The spelling of 205010520 in words is "two hundred five million, ten thousand, five hundred twenty".