34545241320241 has 2 divisors, whose sum is σ = 34545241320242. Its totient is φ = 34545241320240.

The previous prime is 34545241320199. The next prime is 34545241320269. The reversal of 34545241320241 is 14202314254543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22319057733025 + 12226183587216 = 4724305^2 + 3496596^2 .

It is a cyclic number.

It is not a de Polignac number, because 34545241320241 - 2¹⁹ = 34545240795953 is a prime.

It is a super-2 number, since 2×34545241320241² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34545241320194 and 34545241320203.

It is not a weakly prime, because it can be changed into another prime (34545241320041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17272620660120 + 17272620660121.

It is an arithmetic number, because the mean of its divisors is an integer number (17272620660121).

Almost surely, 2^{34545241320241} is an apocalyptic number.

It is an amenable number.

34545241320241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34545241320241 is an equidigital number, since it uses as much as digits as its factorization.

34545241320241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 34545241320241 its reverse (14202314254543), we get a palindrome (48747555574784).

The spelling of 34545241320241 in words is "thirty-four trillion, five hundred forty-five billion, two hundred forty-one million, three hundred twenty thousand, two hundred forty-one".