254086561 has 2 divisors, whose sum is σ = 254086562. Its totient is φ = 254086560.

The previous prime is 254086537. The next prime is 254086577. The reversal of 254086561 is 165680452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242736400 + 11350161 = 15580^2 + 3369^2 .

It is a cyclic number.

It is not a de Polignac number, because 254086561 - 2⁷ = 254086433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 254086561.

It is not a weakly prime, because it can be changed into another prime (254086531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127043280 + 127043281.

It is an arithmetic number, because the mean of its divisors is an integer number (127043281).

Almost surely, 2^254086561 is an apocalyptic number.

It is an amenable number.

254086561 is a deficient number, since it is larger than the sum of its proper divisors (1).

254086561 is an equidigital number, since it uses as much as digits as its factorization.

254086561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 254086561 is about 15940.0928792777. The cubic root of 254086561 is about 633.3744863071.

The spelling of 254086561 in words is "two hundred fifty-four million, eighty-six thousand, five hundred sixty-one".