34314340051093 has 2 divisors, whose sum is σ = 34314340051094. Its totient is φ = 34314340051092.

The previous prime is 34314340051073. The next prime is 34314340051163. The reversal of 34314340051093 is 39015004341343.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32104723206609 + 2209616844484 = 5666103^2 + 1486478^2 .

It is a cyclic number.

It is not a de Polignac number, because 34314340051093 - 2¹³ = 34314340042901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34314340051073) 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, 17157170025546 + 17157170025547.

It is an arithmetic number, because the mean of its divisors is an integer number (17157170025547).

Almost surely, 2^{34314340051093} is an apocalyptic number.

It is an amenable number.

34314340051093 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314340051093 is an equidigital number, since it uses as much as digits as its factorization.

34314340051093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 34314340051093 in words is "thirty-four trillion, three hundred fourteen billion, three hundred forty million, fifty-one thousand, ninety-three".