13157537 has 2 divisors, whose sum is σ = 13157538. Its totient is φ = 13157536.

The previous prime is 13157497. The next prime is 13157539. The reversal of 13157537 is 73575131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 312481 = 3584^2 + 559^2 .

It is a cyclic number.

It is not a de Polignac number, because 13157537 - 2²⁰ = 12108961 is a prime.

Together with 13157539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13157539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6578768 + 6578769.

It is an arithmetic number, because the mean of its divisors is an integer number (6578769).

Almost surely, 2^13157537 is an apocalyptic number.

It is an amenable number.

13157537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13157537 is an equidigital number, since it uses as much as digits as its factorization.

13157537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11025, while the sum is 32.

The square root of 13157537 is about 3627.3319395942. The cubic root of 13157537 is about 236.0794583061.

The spelling of 13157537 in words is "thirteen million, one hundred fifty-seven thousand, five hundred thirty-seven".