205025344001 has 72 divisors (see below), whose sum is σ = 238768594344. Its totient is φ = 175336012800.

The previous prime is 205025343989. The next prime is 205025344003. The reversal of 205025344001 is 100443520502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 135236385025 + 69788958976 = 367745^2 + 264176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-205025344001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205025344003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2029953851 + ... + 2029953951.

It is an arithmetic number, because the mean of its divisors is an integer number (3316230477).

Almost surely, 2^205025344001 is an apocalyptic number.

It is an amenable number.

205025344001 is a deficient number, since it is larger than the sum of its proper divisors (33743250343).

205025344001 is a wasteful number, since it uses less digits than its factorization.

205025344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 205025344001 its reverse (100443520502), we get a palindrome (305468864503).

The spelling of 205025344001 in words is "two hundred five billion, twenty-five million, three hundred forty-four thousand, one".