254040242123401 has 2 divisors, whose sum is σ = 254040242123402. Its totient is φ = 254040242123400.

The previous prime is 254040242123383. The next prime is 254040242123419. The reversal of 254040242123401 is 104321242040452.

254040242123401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (254040242123383) and next prime (254040242123419).

It can be written as a sum of positive squares in only one way, i.e., 149561159430400 + 104479082693001 = 12229520^2 + 10221501^2 .

It is a cyclic number.

It is not a de Polignac number, because 254040242123401 - 2¹⁹ = 254040241599113 is a prime.

It is not a weakly prime, because it can be changed into another prime (254040242123501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127020121061700 + 127020121061701.

It is an arithmetic number, because the mean of its divisors is an integer number (127020121061701).

Almost surely, 2^{254040242123401} is an apocalyptic number.

It is an amenable number.

254040242123401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254040242123401 is an equidigital number, since it uses as much as digits as its factorization.

254040242123401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 254040242123401 its reverse (104321242040452), we get a palindrome (358361484163853).

The spelling of 254040242123401 in words is "two hundred fifty-four trillion, forty billion, two hundred forty-two million, one hundred twenty-three thousand, four hundred one".