34597094993057 has 2 divisors, whose sum is σ = 34597094993058. Its totient is φ = 34597094993056.

The previous prime is 34597094993017. The next prime is 34597094993059. The reversal of 34597094993057 is 75039949079543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26241041005201 + 8356053987856 = 5122601^2 + 2890684^2 .

It is a cyclic number.

It is not a de Polignac number, because 34597094993057 - 2³⁶ = 34528375516321 is a prime.

Together with 34597094993059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34597094993059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17298547496528 + 17298547496529.

It is an arithmetic number, because the mean of its divisors is an integer number (17298547496529).

Almost surely, 2^{34597094993057} is an apocalyptic number.

It is an amenable number.

34597094993057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34597094993057 is an equidigital number, since it uses as much as digits as its factorization.

34597094993057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1157360400, while the sum is 74.

The spelling of 34597094993057 in words is "thirty-four trillion, five hundred ninety-seven billion, ninety-four million, nine hundred ninety-three thousand, fifty-seven".