13527457 has 2 divisors, whose sum is σ = 13527458. Its totient is φ = 13527456.

The previous prime is 13527433. The next prime is 13527463. The reversal of 13527457 is 75472531.

13527457 is digitally balanced in base 2, 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., 11229201 + 2298256 = 3351^2 + 1516^2 .

It is an emirp because it is prime and its reverse (75472531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13527457 - 2¹¹ = 13525409 is a prime.

It is equal to p₈₈₁₂₉₆ and since 13527457 and 881296 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13527467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6763728 + 6763729.

It is an arithmetic number, because the mean of its divisors is an integer number (6763729).

Almost surely, 2^13527457 is an apocalyptic number.

It is an amenable number.

13527457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13527457 is an equidigital number, since it uses as much as digits as its factorization.

13527457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29400, while the sum is 34.

The square root of 13527457 is about 3677.9691407080. The cubic root of 13527457 is about 238.2714754077.

Adding to 13527457 its reverse (75472531), we get a palindrome (88999988).

The spelling of 13527457 in words is "thirteen million, five hundred twenty-seven thousand, four hundred fifty-seven".