13040957 has 2 divisors, whose sum is σ = 13040958. Its totient is φ = 13040956.

The previous prime is 13040917. The next prime is 13040959. The reversal of 13040957 is 75904031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7778521 + 5262436 = 2789^2 + 2294^2 .

It is a cyclic number.

It is not a de Polignac number, because 13040957 - 2¹⁴ = 13024573 is a prime.

Together with 13040959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13040959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6520478 + 6520479.

It is an arithmetic number, because the mean of its divisors is an integer number (6520479).

Almost surely, 2^13040957 is an apocalyptic number.

It is an amenable number.

13040957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13040957 is an equidigital number, since it uses as much as digits as its factorization.

13040957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 13040957 is about 3611.2265229420. The cubic root of 13040957 is about 235.3801422474.

Adding to 13040957 its reverse (75904031), we get a palindrome (88944988).

The spelling of 13040957 in words is "thirteen million, forty thousand, nine hundred fifty-seven".