34545241305013 has 2 divisors, whose sum is σ = 34545241305014. Its totient is φ = 34545241305012.

The previous prime is 34545241304993. The next prime is 34545241305023. The reversal of 34545241305013 is 31050314254543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27942715771569 + 6602525533444 = 5286087^2 + 2569538^2 .

It is a cyclic number.

It is not a de Polignac number, because 34545241305013 - 2⁹ = 34545241304501 is a prime.

It is a super-3 number, since 3×34545241305013³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34545241305023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17272620652506 + 17272620652507.

It is an arithmetic number, because the mean of its divisors is an integer number (17272620652507).

Almost surely, 2^{34545241305013} is an apocalyptic number.

It is an amenable number.

34545241305013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34545241305013 is an equidigital number, since it uses as much as digits as its factorization.

34545241305013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 34545241305013 its reverse (31050314254543), we get a palindrome (65595555559556).

The spelling of 34545241305013 in words is "thirty-four trillion, five hundred forty-five billion, two hundred forty-one million, three hundred five thousand, thirteen".