13153257 has 36 divisors (see below), whose sum is σ = 21790860. Its totient is φ = 7598592.

The previous prime is 13153253. The next prime is 13153267. The reversal of 13153257 is 75235131.

It can be written as a sum of positive squares in 6 ways, for example, as 19881 + 13133376 = 141^2 + 3624^2 .

It is not a de Polignac number, because 13153257 - 2² = 13153253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13153257.

It is not an unprimeable number, because it can be changed into a prime (13153253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33619 + ... + 34007.

Almost surely, 2^13153257 is an apocalyptic number.

13153257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13153257 is a deficient number, since it is larger than the sum of its proper divisors (8637603).

13153257 is a wasteful number, since it uses less digits than its factorization.

13153257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13153257 is about 3626.7419263024. The cubic root of 13153257 is about 236.0538575253.

Adding to 13153257 its reverse (75235131), we get a palindrome (88388388).

The spelling of 13153257 in words is "thirteen million, one hundred fifty-three thousand, two hundred fifty-seven".