13205251 has 2 divisors, whose sum is σ = 13205252. Its totient is φ = 13205250.

The previous prime is 13205249. The next prime is 13205267. The reversal of 13205251 is 15250231.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13205251 - 2¹ = 13205249 is a prime.

Together with 13205249, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13205351) 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, 6602625 + 6602626.

It is an arithmetic number, because the mean of its divisors is an integer number (6602626).

Almost surely, 2^13205251 is an apocalyptic number.

13205251 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205251 is an equidigital number, since it uses as much as digits as its factorization.

13205251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 13205251 is about 3633.9029981550. The cubic root of 13205251 is about 236.3644839534.

Adding to 13205251 its reverse (15250231), we get a palindrome (28455482).

It can be divided in two parts, 13205 and 251, that added together give a square (13456 = 116²).

The spelling of 13205251 in words is "thirteen million, two hundred five thousand, two hundred fifty-one".