34531311313543 has 8 divisors (see below), whose sum is σ = 39886434458640. Its totient is φ = 29545507006080.

The previous prime is 34531311313529. The next prime is 34531311313589.

34531311313543 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34531311313543 is a prime.

It is a super-2 number, since 2×34531311313543² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34531311313496 and 34531311313505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531311319543) 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, 92329709208 + ... + 92329709581.

It is an arithmetic number, because the mean of its divisors is an integer number (4985804307330).

Almost surely, 2^{34531311313543} is an apocalyptic number.

34531311313543 is a deficient number, since it is larger than the sum of its proper divisors (5355123145097).

34531311313543 is a wasteful number, since it uses less digits than its factorization.

34531311313543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184659418817.

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 3453131 and 1313543, that added together give a palindrome (4766674).

The spelling of 34531311313543 in words is "thirty-four trillion, five hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, five hundred forty-three".