4004252314301 has 2 divisors, whose sum is σ = 4004252314302. Its totient is φ = 4004252314300.

The previous prime is 4004252314291. The next prime is 4004252314393. The reversal of 4004252314301 is 1034132524004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3714200055076 + 290052259225 = 1927226^2 + 538565^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004252314301 - 2³⁴ = 3987072445117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004252314001) 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, 2002126157150 + 2002126157151.

It is an arithmetic number, because the mean of its divisors is an integer number (2002126157151).

Almost surely, 2^{4004252314301} is an apocalyptic number.

It is an amenable number.

4004252314301 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004252314301 is an equidigital number, since it uses as much as digits as its factorization.

4004252314301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 4004252314301 its reverse (1034132524004), we get a palindrome (5038384838305).

The spelling of 4004252314301 in words is "four trillion, four billion, two hundred fifty-two million, three hundred fourteen thousand, three hundred one".