205405425 has 36 divisors (see below), whose sum is σ = 368691804. Its totient is φ = 109315200.

The previous prime is 205405393. The next prime is 205405427. The reversal of 205405425 is 524504502.

It can be written as a sum of positive squares in 6 ways, for example, as 5239521 + 200165904 = 2289^2 + 14148^2 .

It is not a de Polignac number, because 205405425 - 2⁵ = 205405393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205405427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173335 + ... + 174515.

It is an arithmetic number, because the mean of its divisors is an integer number (10241439).

Almost surely, 2^205405425 is an apocalyptic number.

205405425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205405425 is a deficient number, since it is larger than the sum of its proper divisors (163286379).

205405425 is a wasteful number, since it uses less digits than its factorization.

205405425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 205405425 is about 14331.9721252869. The cubic root of 205405425 is about 590.0253029462.

Adding to 205405425 its reverse (524504502), we get a palindrome (729909927).

The spelling of 205405425 in words is "two hundred five million, four hundred five thousand, four hundred twenty-five".