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82359852257 is a prime number
BaseRepresentation
bin100110010110100000…
…1111001110011100001
321212120210120222201102
41030231001321303201
52322133110233012
6101500253244145
75643645123224
oct1145501716341
9255523528642
1082359852257
1131a23a98001
1213b66193655
1379c70048b7
143db43475bb
1522207642c2
hex132d079ce1

82359852257 has 2 divisors, whose sum is σ = 82359852258. Its totient is φ = 82359852256.

The previous prime is 82359852251. The next prime is 82359852259. The reversal of 82359852257 is 75225895328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42911536801 + 39448315456 = 207151^2 + 198616^2 .

It is a cyclic number.

It is not a de Polignac number, because 82359852257 - 234 = 65179983073 is a prime.

Together with 82359852259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82359852251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41179926128 + 41179926129.

It is an arithmetic number, because the mean of its divisors is an integer number (41179926129).

Almost surely, 282359852257 is an apocalyptic number.

It is an amenable number.

82359852257 is a deficient number, since it is larger than the sum of its proper divisors (1).

82359852257 is an equidigital number, since it uses as much as digits as its factorization.

82359852257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096000, while the sum is 56.

The spelling of 82359852257 in words is "eighty-two billion, three hundred fifty-nine million, eight hundred fifty-two thousand, two hundred fifty-seven".