34314340052081 has 2 divisors, whose sum is σ = 34314340052082. Its totient is φ = 34314340052080.

The previous prime is 34314340052071. The next prime is 34314340052131. The reversal of 34314340052081 is 18025004341343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29558957344225 + 4755382707856 = 5436815^2 + 2180684^2 .

It is an emirp because it is prime and its reverse (18025004341343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34314340052081 - 2²⁶ = 34314272943217 is a prime.

It is a super-2 number, since 2×34314340052081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34314340052071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17157170026040 + 17157170026041.

It is an arithmetic number, because the mean of its divisors is an integer number (17157170026041).

Almost surely, 2^{34314340052081} is an apocalyptic number.

It is an amenable number.

34314340052081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314340052081 is an equidigital number, since it uses as much as digits as its factorization.

34314340052081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 34314340052081 in words is "thirty-four trillion, three hundred fourteen billion, three hundred forty million, fifty-two thousand, eighty-one".