34545213105125 has 32 divisors (see below), whose sum is σ = 45650416687200. Its totient is φ = 26009393356800.

The previous prime is 34545213105049. The next prime is 34545213105127. The reversal of 34545213105125 is 52150131254543.

It can be written as a sum of positive squares in 16 ways, for example, as 8408149901761 + 26137063203364 = 2899681^2 + 5112442^2 .

It is not a de Polignac number, because 34545213105125 - 2⁸ = 34545213104869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34545213105127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50766137 + ... + 51442113.

It is an arithmetic number, because the mean of its divisors is an integer number (1426575521475).

Almost surely, 2^{34545213105125} is an apocalyptic number.

It is an amenable number.

34545213105125 is a deficient number, since it is larger than the sum of its proper divisors (11105203582075).

34545213105125 is a wasteful number, since it uses less digits than its factorization.

34545213105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700058 (or 700048 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 34545213105125 its reverse (52150131254543), we get a palindrome (86695344359668).

The spelling of 34545213105125 in words is "thirty-four trillion, five hundred forty-five billion, two hundred thirteen million, one hundred five thousand, one hundred twenty-five".