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443252083508137 is a prime number
BaseRepresentation
bin110010011001000101010101…
…0111110111100001110101001
32011010102111002211001102212201
41210302022222332330032221
5431044220231334230022
64210415110203140201
7162235622560511611
oct14462125276741651
92133374084042781
10443252083508137
11119263175645142
1241869281b14661
1316043652269737
147b65730023a41
15363a00d264127
hex19322aafbc3a9

443252083508137 has 2 divisors, whose sum is σ = 443252083508138. Its totient is φ = 443252083508136.

The previous prime is 443252083508099. The next prime is 443252083508159. The reversal of 443252083508137 is 731805380252344.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266747812397056 + 176504271111081 = 16332416^2 + 13285491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-443252083508137 is a prime.

It is a super-3 number, since 3×4432520835081373 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (443252083508197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221626041754068 + 221626041754069.

It is an arithmetic number, because the mean of its divisors is an integer number (221626041754069).

Almost surely, 2443252083508137 is an apocalyptic number.

It is an amenable number.

443252083508137 is a deficient number, since it is larger than the sum of its proper divisors (1).

443252083508137 is an equidigital number, since it uses as much as digits as its factorization.

443252083508137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 443252083508137 in words is "four hundred forty-three trillion, two hundred fifty-two billion, eighty-three million, five hundred eight thousand, one hundred thirty-seven".