34164253301 has 2 divisors, whose sum is σ = 34164253302. Its totient is φ = 34164253300.

The previous prime is 34164253261. The next prime is 34164253307. The reversal of 34164253301 is 10335246143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23203210276 + 10961043025 = 152326^2 + 104695^2 .

It is an emirp because it is prime and its reverse (10335246143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34164253301 - 2¹⁰ = 34164252277 is a prime.

It is a super-2 number, since 2×34164253301² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34164253307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17082126650 + 17082126651.

It is an arithmetic number, because the mean of its divisors is an integer number (17082126651).

Almost surely, 2^34164253301 is an apocalyptic number.

It is an amenable number.

34164253301 is a deficient number, since it is larger than the sum of its proper divisors (1).

34164253301 is an equidigital number, since it uses as much as digits as its factorization.

34164253301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 34164253301 its reverse (10335246143), we get a palindrome (44499499444).

The spelling of 34164253301 in words is "thirty-four billion, one hundred sixty-four million, two hundred fifty-three thousand, three hundred one".