13628513 has 2 divisors, whose sum is σ = 13628514. Its totient is φ = 13628512.

The previous prime is 13628507. The next prime is 13628539. The reversal of 13628513 is 31582631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11505664 + 2122849 = 3392^2 + 1457^2 .

It is an emirp because it is prime and its reverse (31582631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13628513 - 2⁸ = 13628257 is a prime.

It is not a weakly prime, because it can be changed into another prime (13628413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814256 + 6814257.

It is an arithmetic number, because the mean of its divisors is an integer number (6814257).

Almost surely, 2^13628513 is an apocalyptic number.

It is an amenable number.

13628513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13628513 is an equidigital number, since it uses as much as digits as its factorization.

13628513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 13628513 is about 3691.6815951542. The cubic root of 13628513 is about 238.8633346221.

It can be divided in two parts, 13628 and 513, that added together give a palindrome (14141).

The spelling of 13628513 in words is "thirteen million, six hundred twenty-eight thousand, five hundred thirteen".