205535325 has 48 divisors (see below), whose sum is σ = 358369920. Its totient is φ = 103783680.

The previous prime is 205535299. The next prime is 205535329. The reversal of 205535325 is 523535502.

It is not a de Polignac number, because 205535325 - 2¹¹ = 205533277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205535292 and 205535301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205535329) 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 47 ways as a sum of consecutive naturals, for example, 114384 + ... + 116166.

It is an arithmetic number, because the mean of its divisors is an integer number (7466040).

Almost surely, 2^205535325 is an apocalyptic number.

205535325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205535325 is a deficient number, since it is larger than the sum of its proper divisors (152834595).

205535325 is a wasteful number, since it uses less digits than its factorization.

205535325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 205535325 is about 14336.5032347501. The cubic root of 205535325 is about 590.1496556108.

It can be divided in two parts, 2055353 and 25, that added together give a triangular number (2055378 = T₂₀₂₇).

The spelling of 205535325 in words is "two hundred five million, five hundred thirty-five thousand, three hundred twenty-five".