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144825253 is a prime number
BaseRepresentation
bin10001010000111…
…01101110100101
3101002111212220021
420220131232211
5244033402003
622212035141
73405665026
oct1050355645
9332455807
10144825253
11748283a1
1240602ab1
1324009721
141533cc4d
15caab2bd
hex8a1dba5

144825253 has 2 divisors, whose sum is σ = 144825254. Its totient is φ = 144825252.

The previous prime is 144825251. The next prime is 144825271. The reversal of 144825253 is 352528441.

144825253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139074849 + 5750404 = 11793^2 + 2398^2 .

It is an emirp because it is prime and its reverse (352528441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144825253 - 21 = 144825251 is a prime.

It is a super-3 number, since 3×1448252533 (a number of 25 digits) contains 333 as substring.

Together with 144825251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144825251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72412626 + 72412627.

It is an arithmetic number, because the mean of its divisors is an integer number (72412627).

Almost surely, 2144825253 is an apocalyptic number.

It is an amenable number.

144825253 is a deficient number, since it is larger than the sum of its proper divisors (1).

144825253 is an equidigital number, since it uses as much as digits as its factorization.

144825253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38400, while the sum is 34.

The square root of 144825253 is about 12034.3364171025. The cubic root of 144825253 is about 525.1476567290.

The spelling of 144825253 in words is "one hundred forty-four million, eight hundred twenty-five thousand, two hundred fifty-three".