13002053 has 2 divisors, whose sum is σ = 13002054. Its totient is φ = 13002052.

The previous prime is 13002037. The next prime is 13002071. The reversal of 13002053 is 35020031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9840769 + 3161284 = 3137^2 + 1778^2 .

It is an emirp because it is prime and its reverse (35020031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13002053 - 2⁴ = 13002037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501026 + 6501027.

It is an arithmetic number, because the mean of its divisors is an integer number (6501027).

Almost surely, 2^13002053 is an apocalyptic number.

It is an amenable number.

13002053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002053 is an equidigital number, since it uses as much as digits as its factorization.

13002053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 13002053 is about 3605.8359641004. The cubic root of 13002053 is about 235.1458457875.

Adding to 13002053 its reverse (35020031), we get a palindrome (48022084).

The spelling of 13002053 in words is "thirteen million, two thousand, fifty-three".