254561201 has 2 divisors, whose sum is σ = 254561202. Its totient is φ = 254561200.

The previous prime is 254561149. The next prime is 254561227. The reversal of 254561201 is 102165452.

It is an a-pointer prime, because the next prime (254561227) can be obtained adding 254561201 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247244176 + 7317025 = 15724^2 + 2705^2 .

It is a cyclic number.

It is not a de Polignac number, because 254561201 - 2⁶ = 254561137 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_13915106 and since 254561201 and 13915106 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (254561291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127280600 + 127280601.

It is an arithmetic number, because the mean of its divisors is an integer number (127280601).

Almost surely, 2^254561201 is an apocalyptic number.

It is an amenable number.

254561201 is a deficient number, since it is larger than the sum of its proper divisors (1).

254561201 is an equidigital number, since it uses as much as digits as its factorization.

254561201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 254561201 is about 15954.9741773530. The cubic root of 254561201 is about 633.7686274054.

The spelling of 254561201 in words is "two hundred fifty-four million, five hundred sixty-one thousand, two hundred one".