34527013 has 2 divisors, whose sum is σ = 34527014. Its totient is φ = 34527012.

The previous prime is 34527011. The next prime is 34527041. The reversal of 34527013 is 31072543.

34527013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19027044 + 15499969 = 4362^2 + 3937^2 .

It is a cyclic number.

It is not a de Polignac number, because 34527013 - 2¹ = 34527011 is a prime.

It is a super-2 number, since 2×34527013² = 2384229253404338, which contains 22 as substring.

Together with 34527011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34527011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17263506 + 17263507.

It is an arithmetic number, because the mean of its divisors is an integer number (17263507).

Almost surely, 2^34527013 is an apocalyptic number.

It is an amenable number.

34527013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34527013 is an equidigital number, since it uses as much as digits as its factorization.

34527013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 34527013 is about 5875.9691115594. The cubic root of 34527013 is about 325.6264461703.

Adding to 34527013 its reverse (31072543), we get a palindrome (65599556).

The spelling of 34527013 in words is "thirty-four million, five hundred twenty-seven thousand, thirteen".