205435025 has 12 divisors (see below), whose sum is σ = 257079900. Its totient is φ = 162838080.

The previous prime is 205435001. The next prime is 205435099. The reversal of 205435025 is 520534502.

It can be written as a sum of positive squares in 6 ways, for example, as 7441984 + 197993041 = 2728^2 + 14071^2 .

It is not a de Polignac number, because 205435025 - 2²⁰ = 204386449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205434985 and 205435003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34970 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (21423325).

Almost surely, 2^205435025 is an apocalyptic number.

205435025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205435025 is a deficient number, since it is larger than the sum of its proper divisors (51644875).

205435025 is a wasteful number, since it uses less digits than its factorization.

205435025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75508 (or 75503 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 205435025 is about 14333.0047442956. The cubic root of 205435025 is about 590.0536434994.

Adding to 205435025 its reverse (520534502), we get a palindrome (725969527).

The spelling of 205435025 in words is "two hundred five million, four hundred thirty-five thousand, twenty-five".