205242125 has 32 divisors (see below), whose sum is σ = 284124672. Its totient is φ = 146760000.

The previous prime is 205242109. The next prime is 205242127. The reversal of 205242125 is 521242502.

It is not a de Polignac number, because 205242125 - 2⁴ = 205242109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205242125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82652 + ... + 85098.

It is an arithmetic number, because the mean of its divisors is an integer number (8878896).

Almost surely, 2^205242125 is an apocalyptic number.

205242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205242125 is a deficient number, since it is larger than the sum of its proper divisors (78882547).

205242125 is a wasteful number, since it uses less digits than its factorization.

205242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 205242125 is about 14326.2739398631. The cubic root of 205242125 is about 589.8689022138.

Adding to 205242125 its reverse (521242502), we get a palindrome (726484627).

The spelling of 205242125 in words is "two hundred five million, two hundred forty-two thousand, one hundred twenty-five".