205536125 has 16 divisors (see below), whose sum is σ = 260133120. Its totient is φ = 162106000.

The previous prime is 205536083. The next prime is 205536131. The reversal of 205536125 is 521635502.

It is a happy number.

205536125 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 205536125 - 2⁶ = 205536061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705 + ... + 20454.

It is an arithmetic number, because the mean of its divisors is an integer number (16258320).

Almost surely, 2^205536125 is an apocalyptic number.

205536125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205536125 is a deficient number, since it is larger than the sum of its proper divisors (54596995).

205536125 is an equidigital number, since it uses as much as digits as its factorization.

205536125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23245 (or 23235 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 205536125 is about 14336.5311355293. The cubic root of 205536125 is about 590.1504212847.

The spelling of 205536125 in words is "two hundred five million, five hundred thirty-six thousand, one hundred twenty-five".