4813607137753 has 2 divisors, whose sum is σ = 4813607137754. Its totient is φ = 4813607137752.

The previous prime is 4813607137709. The next prime is 4813607137811. The reversal of 4813607137753 is 3577317063184.

4813607137753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4746855697984 + 66751439769 = 2178728^2 + 258363^2 .

It is a cyclic number.

It is not a de Polignac number, because 4813607137753 - 2²⁹ = 4813070266841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4813607137694 and 4813607137703.

It is not a weakly prime, because it can be changed into another prime (4813607137253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2406803568876 + 2406803568877.

It is an arithmetic number, because the mean of its divisors is an integer number (2406803568877).

Almost surely, 2^{4813607137753} is an apocalyptic number.

It is an amenable number.

4813607137753 is a deficient number, since it is larger than the sum of its proper divisors (1).

4813607137753 is an equidigital number, since it uses as much as digits as its factorization.

4813607137753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 4813607137753 in words is "four trillion, eight hundred thirteen billion, six hundred seven million, one hundred thirty-seven thousand, seven hundred fifty-three".