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82575609901 is a prime number
BaseRepresentation
bin100110011100111100…
…0111101000000101101
321220010211120121120021
41030321320331000231
52323103324004101
6101533521522141
75652205050241
oct1147170750055
9256124517507
1082575609901
1132024862a04
12140064a3351
137a2c918345
143dd4c6c421
1522346825a1
hex1339e3d02d

82575609901 has 2 divisors, whose sum is σ = 82575609902. Its totient is φ = 82575609900.

The previous prime is 82575609899. The next prime is 82575609967. The reversal of 82575609901 is 10990657528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79946997001 + 2628612900 = 282749^2 + 51270^2 .

It is a cyclic number.

It is not a de Polignac number, because 82575609901 - 21 = 82575609899 is a prime.

Together with 82575609899, 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 (82575609971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41287804950 + 41287804951.

It is an arithmetic number, because the mean of its divisors is an integer number (41287804951).

Almost surely, 282575609901 is an apocalyptic number.

It is an amenable number.

82575609901 is a deficient number, since it is larger than the sum of its proper divisors (1).

82575609901 is an equidigital number, since it uses as much as digits as its factorization.

82575609901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 82575609901 in words is "eighty-two billion, five hundred seventy-five million, six hundred nine thousand, nine hundred one".