205504425 has 192 divisors, whose sum is σ = 472350720. Its totient is φ = 85536000.

The previous prime is 205504393. The next prime is 205504427. The reversal of 205504425 is 524405502.

It is not a de Polignac number, because 205504425 - 2⁵ = 205504393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205504427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3368895 + ... + 3368955.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^205504425 is an apocalyptic number.

205504425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205504425 is an abundant number, since it is smaller than the sum of its proper divisors (266846295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205504425 is a wasteful number, since it uses less digits than its factorization.

205504425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

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

The square root of 205504425 is about 14335.4255255992. The cubic root of 205504425 is about 590.1200799352.

Adding to 205504425 its reverse (524405502), we get a palindrome (729909927).

The spelling of 205504425 in words is "two hundred five million, five hundred four thousand, four hundred twenty-five".