205664025 has 72 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 93206400.

The previous prime is 205663987. The next prime is 205664033. The reversal of 205664025 is 520466502.

It is not a de Polignac number, because 205664025 - 2⁷ = 205663897 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205663983 and 205664001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701779 + ... + 702071.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^205664025 is an apocalyptic number.

205664025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205664025 is a deficient number, since it is larger than the sum of its proper divisors (193310439).

205664025 is a wasteful number, since it uses less digits than its factorization.

205664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 205664025 is about 14340.9910745387. The cubic root of 205664025 is about 590.2728078608.

The spelling of 205664025 in words is "two hundred five million, six hundred sixty-four thousand, twenty-five".