13052513 has 2 divisors, whose sum is σ = 13052514. Its totient is φ = 13052512.

The previous prime is 13052503. The next prime is 13052537. The reversal of 13052513 is 31525031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11444689 + 1607824 = 3383^2 + 1268^2 .

It is an emirp because it is prime and its reverse (31525031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13052513 - 2¹² = 13048417 is a prime.

It is not a weakly prime, because it can be changed into another prime (13052503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6526256 + 6526257.

It is an arithmetic number, because the mean of its divisors is an integer number (6526257).

Almost surely, 2^13052513 is an apocalyptic number.

It is an amenable number.

13052513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13052513 is an equidigital number, since it uses as much as digits as its factorization.

13052513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13052513 is about 3612.8261790460. The cubic root of 13052513 is about 235.4496476239.

Adding to 13052513 its reverse (31525031), we get a palindrome (44577544).

The spelling of 13052513 in words is "thirteen million, fifty-two thousand, five hundred thirteen".