205513152 has 112 divisors (see below), whose sum is σ = 590836512. Its totient is φ = 62668800.

The previous prime is 205513123. The next prime is 205513159. The reversal of 205513152 is 251315502.

It is a happy number.

205513152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205513159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341652 + ... + 342252.

It is an arithmetic number, because the mean of its divisors is an integer number (5275326).

Almost surely, 2^205513152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295418256).

205513152 is an abundant number, since it is smaller than the sum of its proper divisors (385323360).

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

205513152 is a wasteful number, since it uses less digits than its factorization.

205513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 205513152 is about 14335.7299081700. The cubic root of 205513152 is about 590.1284332104.

Adding to 205513152 its reverse (251315502), we get a palindrome (456828654).

The spelling of 205513152 in words is "two hundred five million, five hundred thirteen thousand, one hundred fifty-two".