205311132 has 96 divisors (see below), whose sum is σ = 576475200. Its totient is φ = 62816256.

The previous prime is 205311107. The next prime is 205311143. The reversal of 205311132 is 231113502.

205311132 is a `hidden beast` number, since 2 + 0 + 531 + 1 + 132 = 666.

205311132 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360544 + ... + 361112.

It is an arithmetic number, because the mean of its divisors is an integer number (6004950).

Almost surely, 2^205311132 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 205311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288237600).

205311132 is an abundant number, since it is smaller than the sum of its proper divisors (371164068).

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

205311132 is a wasteful number, since it uses less digits than its factorization.

205311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205311132 is about 14328.6821445658. The cubic root of 205311132 is about 589.9350038523.

Adding to 205311132 its reverse (231113502), we get a palindrome (436424634).

The spelling of 205311132 in words is "two hundred five million, three hundred eleven thousand, one hundred thirty-two".