205165024125 has 32 divisors (see below), whose sum is σ = 341429088000. Its totient is φ = 109410292800.

The previous prime is 205165024063. The next prime is 205165024153. The reversal of 205165024125 is 521420561502.

It is not a de Polignac number, because 205165024125 - 2²⁵ = 205131469693 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4823451 + ... + 4865799.

It is an arithmetic number, because the mean of its divisors is an integer number (10669659000).

Almost surely, 2^205165024125 is an apocalyptic number.

205165024125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205165024125 is a deficient number, since it is larger than the sum of its proper divisors (136264063875).

205165024125 is a wasteful number, since it uses less digits than its factorization.

205165024125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55286 (or 55276 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 205165024125 its reverse (521420561502), we get a palindrome (726585585627).

The spelling of 205165024125 in words is "two hundred five billion, one hundred sixty-five million, twenty-four thousand, one hundred twenty-five".