205458225625 has 15 divisors (see below), whose sum is σ = 256754759833. Its totient is φ = 164357515000.

The previous prime is 205458225619. The next prime is 205458225649. The reversal of 205458225625 is 526522854502.

The square root of 205458225625 is 453275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 16107924889 + 189350300736 = 126917^2 + 435144^2 .

It is not a de Polignac number, because 205458225625 - 2⁹ = 205458225113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11322810 + ... + 11340940.

Almost surely, 2^205458225625 is an apocalyptic number.

205458225625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205458225625 is the 453275-th square number.

205458225625 is the 226638-th centered octagonal number.

It is an amenable number.

205458225625 is a deficient number, since it is larger than the sum of its proper divisors (51296534208).

205458225625 is an frugal number, since it uses more digits than its factorization.

205458225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36282 (or 18136 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 46.

The spelling of 205458225625 in words is "two hundred five billion, four hundred fifty-eight million, two hundred twenty-five thousand, six hundred twenty-five".