13738513 has 2 divisors, whose sum is σ = 13738514. Its totient is φ = 13738512.

The previous prime is 13738511. The next prime is 13738531. The reversal of 13738513 is 31583731.

It is a happy number.

Together with next prime (13738531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11512449 + 2226064 = 3393^2 + 1492^2 .

It is a cyclic number.

It is not a de Polignac number, because 13738513 - 2¹ = 13738511 is a prime.

Together with 13738511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13738511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6869256 + 6869257.

It is an arithmetic number, because the mean of its divisors is an integer number (6869257).

Almost surely, 2^13738513 is an apocalyptic number.

It is an amenable number.

13738513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13738513 is an equidigital number, since it uses as much as digits as its factorization.

13738513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 13738513 is about 3706.5500131524. The cubic root of 13738513 is about 239.5042602787.

The spelling of 13738513 in words is "thirteen million, seven hundred thirty-eight thousand, five hundred thirteen".