4004252314313 has 4 divisors (see below), whose sum is σ = 4101917004948. Its totient is φ = 3906587623680.

The previous prime is 4004252314301. The next prime is 4004252314393. The reversal of 4004252314313 is 3134132524004.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1242663103504 + 2761589210809 = 1114748^2 + 1661803^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004252314313 - 2²² = 4004248120009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004252314313.

It is not an unprimeable number, because it can be changed into a prime (4004252314393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48832345256 + ... + 48832345337.

It is an arithmetic number, because the mean of its divisors is an integer number (1025479251237).

Almost surely, 2^{4004252314313} is an apocalyptic number.

It is an amenable number.

4004252314313 is a deficient number, since it is larger than the sum of its proper divisors (97664690635).

4004252314313 is an equidigital number, since it uses as much as digits as its factorization.

4004252314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97664690634.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 4004252314313 its reverse (3134132524004), we get a palindrome (7138384838317).

The spelling of 4004252314313 in words is "four trillion, four billion, two hundred fifty-two million, three hundred fourteen thousand, three hundred thirteen".