13105537 has 2 divisors, whose sum is σ = 13105538. Its totient is φ = 13105536.

The previous prime is 13105507. The next prime is 13105541. The reversal of 13105537 is 73550131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13024881 + 80656 = 3609^2 + 284^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105537 - 2⁷ = 13105409 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105507) 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, 6552768 + 6552769.

It is an arithmetic number, because the mean of its divisors is an integer number (6552769).

Almost surely, 2^13105537 is an apocalyptic number.

It is an amenable number.

13105537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105537 is an equidigital number, since it uses as much as digits as its factorization.

13105537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 13105537 is about 3620.1570407926. The cubic root of 13105537 is about 235.7680439021.

Adding to 13105537 its reverse (73550131), we get a palindrome (86655668).

The spelling of 13105537 in words is "thirteen million, one hundred five thousand, five hundred thirty-seven".