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443145452512513 is a prime number
BaseRepresentation
bin110010011000010011101011…
…1010001111110010100000001
32011010001021212112000121200111
41210300213113101332110001
5431040443341320400023
64210254113242551321
7162225126265142422
oct14460472721762401
92133037775017614
10443145452512513
11119221a2718a973
1241850683508541
131603658aa3245a
147b604d645d649
15363736bd0000d
hex19309d747e501

443145452512513 has 2 divisors, whose sum is σ = 443145452512514. Its totient is φ = 443145452512512.

The previous prime is 443145452512507. The next prime is 443145452512519. The reversal of 443145452512513 is 315215254541344.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (443145452512507) and next prime (443145452512519).

It can be written as a sum of positive squares in only one way, i.e., 301351823622144 + 141793628890369 = 17359488^2 + 11907713^2 .

It is a cyclic number.

It is not a de Polignac number, because 443145452512513 - 25 = 443145452512481 is a prime.

It is not a weakly prime, because it can be changed into another prime (443145452512519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221572726256256 + 221572726256257.

It is an arithmetic number, because the mean of its divisors is an integer number (221572726256257).

Almost surely, 2443145452512513 is an apocalyptic number.

It is an amenable number.

443145452512513 is a deficient number, since it is larger than the sum of its proper divisors (1).

443145452512513 is an equidigital number, since it uses as much as digits as its factorization.

443145452512513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760000, while the sum is 49.

The spelling of 443145452512513 in words is "four hundred forty-three trillion, one hundred forty-five billion, four hundred fifty-two million, five hundred twelve thousand, five hundred thirteen".