254516382401 has 2 divisors, whose sum is σ = 254516382402. Its totient is φ = 254516382400.

The previous prime is 254516382347. The next prime is 254516382409. The reversal of 254516382401 is 104283615452.

254516382401 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., 161720601025 + 92795781376 = 402145^2 + 304624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-254516382401 is a prime.

It is not a weakly prime, because it can be changed into another prime (254516382409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127258191200 + 127258191201.

It is an arithmetic number, because the mean of its divisors is an integer number (127258191201).

Almost surely, 2^254516382401 is an apocalyptic number.

It is an amenable number.

254516382401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254516382401 is an equidigital number, since it uses as much as digits as its factorization.

254516382401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 41.

Adding to 254516382401 its reverse (104283615452), we get a palindrome (358799997853).

The spelling of 254516382401 in words is "two hundred fifty-four billion, five hundred sixteen million, three hundred eighty-two thousand, four hundred one".