205648601 has 2 divisors, whose sum is σ = 205648602. Its totient is φ = 205648600.

The previous prime is 205648577. The next prime is 205648603. The reversal of 205648601 is 106846502.

205648601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182223001 + 23425600 = 13499^2 + 4840^2 .

It is a cyclic number.

It is not a de Polignac number, because 205648601 - 2⁶ = 205648537 is a prime.

Together with 205648603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205648603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102824300 + 102824301.

It is an arithmetic number, because the mean of its divisors is an integer number (102824301).

Almost surely, 2^205648601 is an apocalyptic number.

It is an amenable number.

205648601 is a deficient number, since it is larger than the sum of its proper divisors (1).

205648601 is an equidigital number, since it uses as much as digits as its factorization.

205648601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 205648601 is about 14340.4533052481. The cubic root of 205648601 is about 590.2580514388.

The spelling of 205648601 in words is "two hundred five million, six hundred forty-eight thousand, six hundred one".