Search a number
-
+
13665534123253 is a prime number
BaseRepresentation
bin1100011011011100000101…
…0011101001110011110101
31210101102010120100222102211
43012313001103221303311
53242344003213421003
645021505410333421
72610205450326265
oct306670123516365
953342116328384
1013665534123253
11439957a831031
12164857b88a271
1378186777343c
143535b5b397a5
1518a712a1796d
hexc6dc14e9cf5

13665534123253 has 2 divisors, whose sum is σ = 13665534123254. Its totient is φ = 13665534123252.

The previous prime is 13665534123251. The next prime is 13665534123341. The reversal of 13665534123253 is 35232143556631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13589965212849 + 75568910404 = 3686457^2 + 274898^2 .

It is a cyclic number.

It is not a de Polignac number, because 13665534123253 - 21 = 13665534123251 is a prime.

Together with 13665534123251, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13665534123197 and 13665534123206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13665534123251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6832767061626 + 6832767061627.

It is an arithmetic number, because the mean of its divisors is an integer number (6832767061627).

Almost surely, 213665534123253 is an apocalyptic number.

It is an amenable number.

13665534123253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13665534123253 is an equidigital number, since it uses as much as digits as its factorization.

13665534123253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832000, while the sum is 49.

Adding to 13665534123253 its reverse (35232143556631), we get a palindrome (48897677679884).

The spelling of 13665534123253 in words is "thirteen trillion, six hundred sixty-five billion, five hundred thirty-four million, one hundred twenty-three thousand, two hundred fifty-three".