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82962512657 is a prime number
BaseRepresentation
bin100110101000011110…
…0110111101100010001
321221010210121022100222
41031100330313230101
52324401400401112
6102040142322425
75664613502513
oct1152074675421
9257123538328
1082962512657
11322031a2752
12140b3b89415
137a91b2239b
1440303c3bb3
15225860a372
hex1350f37b11

82962512657 has 2 divisors, whose sum is σ = 82962512658. Its totient is φ = 82962512656.

The previous prime is 82962512587. The next prime is 82962512669. The reversal of 82962512657 is 75621526928.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82953216256 + 9296401 = 288016^2 + 3049^2 .

It is a cyclic number.

It is not a de Polignac number, because 82962512657 - 220 = 82961464081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82962512599 and 82962512608.

It is not a weakly prime, because it can be changed into another prime (82962572657) 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, 41481256328 + 41481256329.

It is an arithmetic number, because the mean of its divisors is an integer number (41481256329).

Almost surely, 282962512657 is an apocalyptic number.

It is an amenable number.

82962512657 is a deficient number, since it is larger than the sum of its proper divisors (1).

82962512657 is an equidigital number, since it uses as much as digits as its factorization.

82962512657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 53.

The spelling of 82962512657 in words is "eighty-two billion, nine hundred sixty-two million, five hundred twelve thousand, six hundred fifty-seven".