13507057 has 2 divisors, whose sum is σ = 13507058. Its totient is φ = 13507056.

The previous prime is 13507037. The next prime is 13507073. The reversal of 13507057 is 75070531.

13507057 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9511056 + 3996001 = 3084^2 + 1999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13507057 is a prime.

It is not a weakly prime, because it can be changed into another prime (13507037) 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, 6753528 + 6753529.

It is an arithmetic number, because the mean of its divisors is an integer number (6753529).

Almost surely, 2^13507057 is an apocalyptic number.

It is an amenable number.

13507057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13507057 is an equidigital number, since it uses as much as digits as its factorization.

13507057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 13507057 is about 3675.1948247678. The cubic root of 13507057 is about 238.1516405279.

Adding to 13507057 its reverse (75070531), we get a palindrome (88577588).

The spelling of 13507057 in words is "thirteen million, five hundred seven thousand, fifty-seven".