12553 has 2 divisors, whose sum is σ = 12554. Its totient is φ = 12552.

The previous prime is 12547. The next prime is 12569. The reversal of 12553 is 35521.

It is an a-pointer prime, because the next prime (12569) can be obtained adding 12553 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 9 = 112^2 + 3^2 .

It is an emirp because it is prime and its reverse (35521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12553 - 2⁹ = 12041 is a prime.

12553 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (12503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6276 + 6277.

It is an arithmetic number, because the mean of its divisors is an integer number (6277).

2¹²⁵⁵³ is an apocalyptic number.

It is an amenable number.

12553 is a deficient number, since it is larger than the sum of its proper divisors (1).

12553 is an equidigital number, since it uses as much as digits as its factorization.

12553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 150, while the sum is 16.

The square root of 12553 is about 112.0401713672. The cubic root of 12553 is about 23.2406984799.

Subtracting from 12553 its product of digits (150), we obtain a triangular number (12403 = T₁₅₇).

It can be divided in two parts, 12 and 553, that added together give a palindrome (565).

The spelling of 12553 in words is "twelve thousand, five hundred fifty-three".