205959442625 has 32 divisors (see below), whose sum is σ = 268672045824. Its totient is φ = 157333968000.

The previous prime is 205959442621. The next prime is 205959442643. The reversal of 205959442625 is 526244959502.

205959442625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205959442625 - 2² = 205959442621 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205959442621) 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 31 ways as a sum of consecutive naturals, for example, 1626605 + ... + 1748645.

It is an arithmetic number, because the mean of its divisors is an integer number (8396001432).

Almost surely, 2^205959442625 is an apocalyptic number.

205959442625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205959442625 is a deficient number, since it is larger than the sum of its proper divisors (62712603199).

205959442625 is a wasteful number, since it uses less digits than its factorization.

205959442625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122666 (or 122656 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 205959442625 in words is "two hundred five billion, nine hundred fifty-nine million, four hundred forty-two thousand, six hundred twenty-five".