34091835827201 has 2 divisors, whose sum is σ = 34091835827202. Its totient is φ = 34091835827200.

The previous prime is 34091835827141. The next prime is 34091835827209. The reversal of 34091835827201 is 10272853819043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22310129689600 + 11781706137601 = 4723360^2 + 3432449^2 .

It is a cyclic number.

It is not a de Polignac number, because 34091835827201 - 2¹⁰ = 34091835826177 is a prime.

It is not a weakly prime, because it can be changed into another prime (34091835827209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17045917913600 + 17045917913601.

It is an arithmetic number, because the mean of its divisors is an integer number (17045917913601).

Almost surely, 2^{34091835827201} is an apocalyptic number.

It is an amenable number.

34091835827201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34091835827201 is an equidigital number, since it uses as much as digits as its factorization.

34091835827201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 34091835827201 in words is "thirty-four trillion, ninety-one billion, eight hundred thirty-five million, eight hundred twenty-seven thousand, two hundred one".