34532305313 has 24 divisors (see below), whose sum is σ = 39369345960. Its totient is φ = 30241728000.

The previous prime is 34532305303. The next prime is 34532305319. The reversal of 34532305313 is 31350323543.

It can be written as a sum of positive squares in 4 ways, for example, as 17331195904 + 17201109409 = 131648^2 + 131153^2 .

It is not a de Polignac number, because 34532305313 - 2²⁰ = 34531256737 is a prime.

It is a super-2 number, since 2×34532305313² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34532305313.

It is not an unprimeable number, because it can be changed into a prime (34532305319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413993 + ... + 490361.

It is an arithmetic number, because the mean of its divisors is an integer number (1640389415).

Almost surely, 2^34532305313 is an apocalyptic number.

It is an amenable number.

34532305313 is a deficient number, since it is larger than the sum of its proper divisors (4837040647).

34532305313 is a wasteful number, since it uses less digits than its factorization.

34532305313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76529 (or 76518 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 32.

Adding to 34532305313 its reverse (31350323543), we get a palindrome (65882628856).

It can be divided in two parts, 3453230 and 5313, that added together give a palindrome (3458543).

The spelling of 34532305313 in words is "thirty-four billion, five hundred thirty-two million, three hundred five thousand, three hundred thirteen".