13535537 has 2 divisors, whose sum is σ = 13535538. Its totient is φ = 13535536.

The previous prime is 13535521. The next prime is 13535549. The reversal of 13535537 is 73553531.

13535537 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10962721 + 2572816 = 3311^2 + 1604^2 .

It is an emirp because it is prime and its reverse (73553531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13535537 - 2⁴ = 13535521 is a prime.

It is a Chen prime.

It is equal to p₈₈₁₇₈₀ and since 13535537 and 881780 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13535567) 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, 6767768 + 6767769.

It is an arithmetic number, because the mean of its divisors is an integer number (6767769).

Almost surely, 2^13535537 is an apocalyptic number.

It is an amenable number.

13535537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13535537 is an equidigital number, since it uses as much as digits as its factorization.

13535537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23625, while the sum is 32.

The square root of 13535537 is about 3679.0674090046. The cubic root of 13535537 is about 238.3189061094.

The spelling of 13535537 in words is "thirteen million, five hundred thirty-five thousand, five hundred thirty-seven".