13140257 has 8 divisors (see below), whose sum is σ = 14237160. Its totient is φ = 12127440.

The previous prime is 13140221. The next prime is 13140271. The reversal of 13140257 is 75204131.

13140257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8014561 + 5125696 = 2831^2 + 2264^2 .

It is not a de Polignac number, because 13140257 - 2²² = 8945953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13140157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (1779645).

Almost surely, 2^13140257 is an apocalyptic number.

It is an amenable number.

13140257 is a deficient number, since it is larger than the sum of its proper divisors (1096903).

13140257 is an frugal number, since it uses more digits than its factorization.

13140257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13140257 is about 3624.9492410239. The cubic root of 13140257 is about 235.9760640763.

Adding to 13140257 its reverse (75204131), we get a palindrome (88344388).

The spelling of 13140257 in words is "thirteen million, one hundred forty thousand, two hundred fifty-seven".