13357253 has 18 divisors (see below), whose sum is σ = 16835634. Its totient is φ = 10561824.

The previous prime is 13357243. The next prime is 13357283. The reversal of 13357253 is 35275331.

13357253 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 56644 + 13300609 = 238^2 + 3647^2 .

It is not a de Polignac number, because 13357253 - 2⁴ = 13357237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357213) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7475 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (935313).

Almost surely, 2^13357253 is an apocalyptic number.

13357253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13357253 is a deficient number, since it is larger than the sum of its proper divisors (3478381).

13357253 is a wasteful number, since it uses less digits than its factorization.

13357253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1633 counting only the distinct ones).

The product of its digits is 9450, while the sum is 29.

The square root of 13357253 is about 3654.7575843002. The cubic root of 13357253 is about 237.2679350925.

The spelling of 13357253 in words is "thirteen million, three hundred fifty-seven thousand, two hundred fifty-three".