34963135537361 has 2 divisors, whose sum is σ = 34963135537362. Its totient is φ = 34963135537360.

The previous prime is 34963135537349. The next prime is 34963135537373. The reversal of 34963135537361 is 16373553136943.

It is a balanced prime because it is at equal distance from previous prime (34963135537349) and next prime (34963135537373).

It can be written as a sum of positive squares in only one way, i.e., 34939743670225 + 23391867136 = 5910985^2 + 152944^2 .

It is an emirp because it is prime and its reverse (16373553136943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34963135537361 - 2³⁰ = 34962061795537 is a prime.

It is a super-4 number, since 4×34963135537361⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34963135537361.

It is not a weakly prime, because it can be changed into another prime (34963135536361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17481567768680 + 17481567768681.

It is an arithmetic number, because the mean of its divisors is an integer number (17481567768681).

Almost surely, 2^{34963135537361} is an apocalyptic number.

It is an amenable number.

34963135537361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34963135537361 is an equidigital number, since it uses as much as digits as its factorization.

34963135537361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55112400, while the sum is 59.

The spelling of 34963135537361 in words is "thirty-four trillion, nine hundred sixty-three billion, one hundred thirty-five million, five hundred thirty-seven thousand, three hundred sixty-one".