205203825 has 36 divisors (see below), whose sum is σ = 369470400. Its totient is φ = 108868320.

The previous prime is 205203809. The next prime is 205203827. The reversal of 205203825 is 528302502.

205203825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205203825 - 2⁴ = 205203809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205203827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42484 + ... + 47066.

Almost surely, 2^205203825 is an apocalyptic number.

205203825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205203825 is a deficient number, since it is larger than the sum of its proper divisors (164266575).

205203825 is a wasteful number, since it uses less digits than its factorization.

205203825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205203825 is about 14324.9371726371. The cubic root of 205203825 is about 589.8322083425.

The spelling of 205203825 in words is "two hundred five million, two hundred three thousand, eight hundred twenty-five".