13531157 has 2 divisors, whose sum is σ = 13531158. Its totient is φ = 13531156.

The previous prime is 13531129. The next prime is 13531163. The reversal of 13531157 is 75113531.

13531157 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., 11015761 + 2515396 = 3319^2 + 1586^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531157 - 2⁶ = 13531093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13531127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6765578 + 6765579.

It is an arithmetic number, because the mean of its divisors is an integer number (6765579).

Almost surely, 2^13531157 is an apocalyptic number.

It is an amenable number.

13531157 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531157 is an equidigital number, since it uses as much as digits as its factorization.

13531157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1575, while the sum is 26.

The square root of 13531157 is about 3678.4721012942. The cubic root of 13531157 is about 238.2931972557.

Adding to 13531157 its reverse (75113531), we get a palindrome (88644688).

The spelling of 13531157 in words is "thirteen million, five hundred thirty-one thousand, one hundred fifty-seven".