34125241213205 has 8 divisors (see below), whose sum is σ = 40950495475512. Its totient is φ = 27300055624128.

The previous prime is 34125241213199. The next prime is 34125241213207. The reversal of 34125241213205 is 50231214252143.

It can be written as a sum of positive squares in 4 ways, for example, as 88086678436 + 34037154534769 = 296794^2 + 5834137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34125241213205 - 2¹² = 34125241209109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125241213207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16068674 + ... + 18068003.

It is an arithmetic number, because the mean of its divisors is an integer number (5118811934439).

Almost surely, 2^{34125241213205} is an apocalyptic number.

It is an amenable number.

34125241213205 is a deficient number, since it is larger than the sum of its proper divisors (6825254262307).

34125241213205 is a wasteful number, since it uses less digits than its factorization.

34125241213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336615.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 34125241213205 its reverse (50231214252143), we get a palindrome (84356455465348).

The spelling of 34125241213205 in words is "thirty-four trillion, one hundred twenty-five billion, two hundred forty-one million, two hundred thirteen thousand, two hundred five".