34813397402753 has 2 divisors, whose sum is σ = 34813397402754. Its totient is φ = 34813397402752.

The previous prime is 34813397402711. The next prime is 34813397402783. The reversal of 34813397402753 is 35720479331843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33567736050289 + 1245661352464 = 5793767^2 + 1116092^2 .

It is a cyclic number.

It is not a de Polignac number, because 34813397402753 - 2¹⁰ = 34813397401729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34813397402692 and 34813397402701.

It is not a weakly prime, because it can be changed into another prime (34813397402783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17406698701376 + 17406698701377.

It is an arithmetic number, because the mean of its divisors is an integer number (17406698701377).

Almost surely, 2^{34813397402753} is an apocalyptic number.

It is an amenable number.

34813397402753 is a deficient number, since it is larger than the sum of its proper divisors (1).

34813397402753 is an equidigital number, since it uses as much as digits as its factorization.

34813397402753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45722880, while the sum is 59.

The spelling of 34813397402753 in words is "thirty-four trillion, eight hundred thirteen billion, three hundred ninety-seven million, four hundred two thousand, seven hundred fifty-three".