205271225663001 has 64 divisors (see below), whose sum is σ = 280603367616000. Its totient is φ = 133450530048000.

The previous prime is 205271225662991. The next prime is 205271225663011. The reversal of 205271225663001 is 100366522172502.

It is an interprime number because it is at equal distance from previous prime (205271225662991) and next prime (205271225663011).

It is not a de Polignac number, because 205271225663001 - 2⁵ = 205271225662969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205271225663011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7341326661 + ... + 7341354621.

It is an arithmetic number, because the mean of its divisors is an integer number (4384427619000).

Almost surely, 2^{205271225663001} is an apocalyptic number.

It is an amenable number.

205271225663001 is a deficient number, since it is larger than the sum of its proper divisors (75332141952999).

205271225663001 is a wasteful number, since it uses less digits than its factorization.

205271225663001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29490.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 205271225663001 in words is "two hundred five trillion, two hundred seventy-one billion, two hundred twenty-five million, six hundred sixty-three thousand, one".