205616125 has 32 divisors (see below), whose sum is σ = 301496832. Its totient is φ = 138024000.

The previous prime is 205616093. The next prime is 205616129. The reversal of 205616125 is 521616502.

It is not a de Polignac number, because 205616125 - 2⁵ = 205616093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205616093 and 205616102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205616129) 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, 12124 + ... + 23626.

It is an arithmetic number, because the mean of its divisors is an integer number (9421776).

Almost surely, 2^205616125 is an apocalyptic number.

205616125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205616125 is a deficient number, since it is larger than the sum of its proper divisors (95880707).

205616125 is a wasteful number, since it uses less digits than its factorization.

205616125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 205616125 is about 14339.3209392914. The cubic root of 205616125 is about 590.2269786452.

It can be divided in two parts, 2056 and 16125, that added together give a palindrome (18181).

The spelling of 205616125 in words is "two hundred five million, six hundred sixteen thousand, one hundred twenty-five".