205406325 has 72 divisors (see below), whose sum is σ = 394849728. Its totient is φ = 101706240.

The previous prime is 205406293. The next prime is 205406423. The reversal of 205406325 is 523604502.

205406325 is a `hidden beast` number, since 20 + 5 + 4 + 0 + 632 + 5 = 666.

It is not a de Polignac number, because 205406325 - 2⁵ = 205406293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317152 + ... + 317798.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^205406325 is an apocalyptic number.

205406325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205406325 is a deficient number, since it is larger than the sum of its proper divisors (189443403).

205406325 is a wasteful number, since it uses less digits than its factorization.

205406325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 205406325 is about 14332.0035235832. The cubic root of 205406325 is about 590.0261646924.

The spelling of 205406325 in words is "two hundred five million, four hundred six thousand, three hundred twenty-five".