205601125 has 16 divisors (see below), whose sum is σ = 259487280. Its totient is φ = 162624000.

The previous prime is 205601113. The next prime is 205601129. The reversal of 205601125 is 521106502.

It can be written as a sum of positive squares in 8 ways, for example, as 46689889 + 158911236 = 6833^2 + 12606^2 .

It is not a de Polignac number, because 205601125 - 2⁵ = 205601093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205601096 and 205601105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205601129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1885 + ... + 20365.

It is an arithmetic number, because the mean of its divisors is an integer number (16217955).

Almost surely, 2^205601125 is an apocalyptic number.

205601125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205601125 is a deficient number, since it is larger than the sum of its proper divisors (53886155).

205601125 is an equidigital number, since it uses as much as digits as its factorization.

205601125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18585 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 205601125 is about 14338.7978924316. The cubic root of 205601125 is about 590.2126256529.

Adding to 205601125 its reverse (521106502), we get a palindrome (726707627).

The spelling of 205601125 in words is "two hundred five million, six hundred one thousand, one hundred twenty-five".