205532652 has 96 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 56374272.

The previous prime is 205532629. The next prime is 205532653. The reversal of 205532652 is 256235502.

205532652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205532653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48349 + ... + 52427.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^205532652 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 205532652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

205532652 is an abundant number, since it is smaller than the sum of its proper divisors (370236948).

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

205532652 is a wasteful number, since it uses less digits than its factorization.

205532652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 205532652 is about 14336.4100108779. The cubic root of 205532652 is about 590.1470972884.

It can be divided in two parts, 2055326 and 52, that added together give a triangular number (2055378 = T₂₀₂₇).

The spelling of 205532652 in words is "two hundred five million, five hundred thirty-two thousand, six hundred fifty-two".