34513460406097 has 2 divisors, whose sum is σ = 34513460406098. Its totient is φ = 34513460406096.

The previous prime is 34513460406079. The next prime is 34513460406169. The reversal of 34513460406097 is 79060406431543.

Together with previous prime (34513460406079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30510863984896 + 4002596421201 = 5523664^2 + 2000649^2 .

It is a cyclic number.

It is not a de Polignac number, because 34513460406097 - 2³⁵ = 34479100667729 is a prime.

It is a super-3 number, since 3×34513460406097³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34513460406077) 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, 17256730203048 + 17256730203049.

It is an arithmetic number, because the mean of its divisors is an integer number (17256730203049).

Almost surely, 2^{34513460406097} is an apocalyptic number.

It is an amenable number.

34513460406097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513460406097 is an equidigital number, since it uses as much as digits as its factorization.

34513460406097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 34513460406097 in words is "thirty-four trillion, five hundred thirteen billion, four hundred sixty million, four hundred six thousand, ninety-seven".