35122120265137 has 2 divisors, whose sum is σ = 35122120265138. Its totient is φ = 35122120265136.

The previous prime is 35122120265059. The next prime is 35122120265159. The reversal of 35122120265137 is 73156202122153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18701827842721 + 16420292422416 = 4324561^2 + 4052196^2 .

It is an emirp because it is prime and its reverse (73156202122153) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35122120265137 - 2⁷ = 35122120265009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35122120265137.

It is not a weakly prime, because it can be changed into another prime (35122120265437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17561060132568 + 17561060132569.

It is an arithmetic number, because the mean of its divisors is an integer number (17561060132569).

Almost surely, 2^{35122120265137} is an apocalyptic number.

It is an amenable number.

35122120265137 is a deficient number, since it is larger than the sum of its proper divisors (1).

35122120265137 is an equidigital number, since it uses as much as digits as its factorization.

35122120265137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 35122120265137 in words is "thirty-five trillion, one hundred twenty-two billion, one hundred twenty million, two hundred sixty-five thousand, one hundred thirty-seven".