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82575609967 is a prime number
BaseRepresentation
bin100110011100111100…
…0111101000001101111
321220010211120121122201
41030321320331001233
52323103324004332
6101533521522331
75652205050364
oct1147170750157
9256124517581
1082575609967
1132024862a64
12140064a33a7
137a2c918396
143dd4c6c46b
1522346825e7
hex1339e3d06f

82575609967 has 2 divisors, whose sum is σ = 82575609968. Its totient is φ = 82575609966.

The previous prime is 82575609901. The next prime is 82575609971. The reversal of 82575609967 is 76990657528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82575609967 - 231 = 80428126319 is a prime.

It is a super-2 number, since 2×825756099672 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82575609899 and 82575609908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82575600967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41287804983 + 41287804984.

It is an arithmetic number, because the mean of its divisors is an integer number (41287804984).

Almost surely, 282575609967 is an apocalyptic number.

82575609967 is a deficient number, since it is larger than the sum of its proper divisors (1).

82575609967 is an equidigital number, since it uses as much as digits as its factorization.

82575609967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57153600, while the sum is 64.

The spelling of 82575609967 in words is "eighty-two billion, five hundred seventy-five million, six hundred nine thousand, nine hundred sixty-seven".