34235101566361 has 2 divisors, whose sum is σ = 34235101566362. Its totient is φ = 34235101566360.

The previous prime is 34235101566311. The next prime is 34235101566371. The reversal of 34235101566361 is 16366510153243.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34214825230336 + 20276336025 = 5849344^2 + 142395^2 .

It is an emirp because it is prime and its reverse (16366510153243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34235101566361 - 2⁷ = 34235101566233 is a prime.

It is not a weakly prime, because it can be changed into another prime (34235101566311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17117550783180 + 17117550783181.

It is an arithmetic number, because the mean of its divisors is an integer number (17117550783181).

Almost surely, 2^{34235101566361} is an apocalyptic number.

It is an amenable number.

34235101566361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34235101566361 is an equidigital number, since it uses as much as digits as its factorization.

34235101566361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 34235101566361 in words is "thirty-four trillion, two hundred thirty-five billion, one hundred one million, five hundred sixty-six thousand, three hundred sixty-one".