34541018807137 has 2 divisors, whose sum is σ = 34541018807138. Its totient is φ = 34541018807136.

The previous prime is 34541018807017. The next prime is 34541018807233. The reversal of 34541018807137 is 73170881014543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34505743957281 + 35274849856 = 5874159^2 + 187816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34541018807137 is a prime.

It is a super-3 number, since 3×34541018807137³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34541018907137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17270509403568 + 17270509403569.

It is an arithmetic number, because the mean of its divisors is an integer number (17270509403569).

Almost surely, 2^{34541018807137} is an apocalyptic number.

It is an amenable number.

34541018807137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34541018807137 is an equidigital number, since it uses as much as digits as its factorization.

34541018807137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 34541018807137 in words is "thirty-four trillion, five hundred forty-one billion, eighteen million, eight hundred seven thousand, one hundred thirty-seven".