13725013 has 2 divisors, whose sum is σ = 13725014. Its totient is φ = 13725012.

The previous prime is 13724989. The next prime is 13725031. The reversal of 13725013 is 31052731.

Together with next prime (13725031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13593969 + 131044 = 3687^2 + 362^2 .

It is a cyclic number.

It is not a de Polignac number, because 13725013 - 2¹³ = 13716821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13725083) 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, 6862506 + 6862507.

It is an arithmetic number, because the mean of its divisors is an integer number (6862507).

Almost surely, 2^13725013 is an apocalyptic number.

It is an amenable number.

13725013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13725013 is an equidigital number, since it uses as much as digits as its factorization.

13725013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13725013 is about 3704.7284650835. The cubic root of 13725013 is about 239.4257858191.

Adding to 13725013 its reverse (31052731), we get a palindrome (44777744).

The spelling of 13725013 in words is "thirteen million, seven hundred twenty-five thousand, thirteen".