13008253 has 2 divisors, whose sum is σ = 13008254. Its totient is φ = 13008252.

The previous prime is 13008241. The next prime is 13008263. The reversal of 13008253 is 35280031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9903609 + 3104644 = 3147^2 + 1762^2 .

It is an emirp because it is prime and its reverse (35280031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13008253 - 2⁹ = 13007741 is a prime.

It is a super-2 number, since 2×13008253² = 338429292224018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13008223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6504126 + 6504127.

It is an arithmetic number, because the mean of its divisors is an integer number (6504127).

Almost surely, 2^13008253 is an apocalyptic number.

It is an amenable number.

13008253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008253 is an equidigital number, since it uses as much as digits as its factorization.

13008253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13008253 is about 3606.6955790585. The cubic root of 13008253 is about 235.1832161057.

Adding to 13008253 its reverse (35280031), we get a palindrome (48288284).

The spelling of 13008253 in words is "thirteen million, eight thousand, two hundred fifty-three".