254558401 has 2 divisors, whose sum is σ = 254558402. Its totient is φ = 254558400.

The previous prime is 254558399. The next prime is 254558441. The reversal of 254558401 is 104855452.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217592001 + 36966400 = 14751^2 + 6080^2 .

It is a cyclic number.

It is not a de Polignac number, because 254558401 - 2¹ = 254558399 is a prime.

Together with 254558399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (254558441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127279200 + 127279201.

It is an arithmetic number, because the mean of its divisors is an integer number (127279201).

Almost surely, 2^254558401 is an apocalyptic number.

It is an amenable number.

254558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254558401 is an equidigital number, since it uses as much as digits as its factorization.

254558401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32000, while the sum is 34.

The square root of 254558401 is about 15954.8864301818. The cubic root of 254558401 is about 633.7663037223.

It can be divided in two parts, 25455 and 8401, that added together give a square (33856 = 184²).

The spelling of 254558401 in words is "two hundred fifty-four million, five hundred fifty-eight thousand, four hundred one".