34235316513 has 12 divisors (see below), whose sum is σ = 49455707028. Its totient is φ = 22821377760.

The previous prime is 34235316509. The next prime is 34235316541. The reversal of 34235316513 is 31561353243.

34235316513 is a `hidden beast` number, since 34 + 23 + 531 + 65 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5366588049 + 28868728464 = 73257^2 + 169908^2 .

It is not a de Polignac number, because 34235316513 - 2² = 34235316509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34235316413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77370 + ... + 272867.

It is an arithmetic number, because the mean of its divisors is an integer number (4121308919).

Almost surely, 2^34235316513 is an apocalyptic number.

It is an amenable number.

34235316513 is a deficient number, since it is larger than the sum of its proper divisors (15220390515).

34235316513 is a wasteful number, since it uses less digits than its factorization.

34235316513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361104 (or 361101 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 34235316513 its reverse (31561353243), we get a palindrome (65796669756).

The spelling of 34235316513 in words is "thirty-four billion, two hundred thirty-five million, three hundred sixteen thousand, five hundred thirteen".