13755013 has 2 divisors, whose sum is σ = 13755014. Its totient is φ = 13755012.

The previous prime is 13755011. The next prime is 13755017. The reversal of 13755013 is 31055731.

13755013 = 2622² + 2623².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6880129 + 6874884 = 2623^2 + 2622^2 .

It is a cyclic number.

It is not a de Polignac number, because 13755013 - 2¹ = 13755011 is a prime.

Together with 13755011, 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 (13755011) 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, 6877506 + 6877507.

It is an arithmetic number, because the mean of its divisors is an integer number (6877507).

Almost surely, 2^13755013 is an apocalyptic number.

13755013 is the 2623-rd centered square number.

It is an amenable number.

13755013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13755013 is an equidigital number, since it uses as much as digits as its factorization.

13755013 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 13755013 is about 3708.7751347311. The cubic root of 13755013 is about 239.6001037250.

The spelling of 13755013 in words is "thirteen million, seven hundred fifty-five thousand, thirteen".