205414125 has 64 divisors (see below), whose sum is σ = 398860800. Its totient is φ = 93844800.

The previous prime is 205414109. The next prime is 205414129. The reversal of 205414125 is 521414502.

It is not a de Polignac number, because 205414125 - 2⁴ = 205414109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205414095 and 205414104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205414129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127827 + ... + 129423.

It is an arithmetic number, because the mean of its divisors is an integer number (6232200).

Almost surely, 2^205414125 is an apocalyptic number.

205414125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205414125 is a deficient number, since it is larger than the sum of its proper divisors (193446675).

205414125 is an equidigital number, since it uses as much as digits as its factorization.

205414125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 205414125 is about 14332.2756392696. The cubic root of 205414125 is about 590.0336330535.

Adding to 205414125 its reverse (521414502), we get a palindrome (726828627).

It can be divided in two parts, 20 and 5414125, that added together give a palindrome (5414145).

The spelling of 205414125 in words is "two hundred five million, four hundred fourteen thousand, one hundred twenty-five".