205117125 has 32 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 108632000.

The previous prime is 205117051. The next prime is 205117127. The reversal of 205117125 is 521711502.

It is not a de Polignac number, because 205117125 - 2⁷ = 205116997 is a prime.

It is a super-3 number, since 3×205117125³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205117095 and 205117104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205117127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54040 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^205117125 is an apocalyptic number.

205117125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205117125 is a deficient number, since it is larger than the sum of its proper divisors (138582075).

205117125 is a wasteful number, since it uses less digits than its factorization.

205117125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 205117125 is about 14321.9106616401. The cubic root of 205117125 is about 589.7491272786.

Adding to 205117125 its reverse (521711502), we get a palindrome (726828627).

The spelling of 205117125 in words is "two hundred five million, one hundred seventeen thousand, one hundred twenty-five".