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82633705513 is a prime number
BaseRepresentation
bin100110011110101011…
…0100100100000101001
321220021212220011202121
41030331112210200221
52323213212034023
6101543355031241
75653511623222
oct1147526444051
9256255804677
1082633705513
1132054633007
1214021a3b521
137a3b979548
143ddc872249
15223980ad5d
hex133d5a4829

82633705513 has 2 divisors, whose sum is σ = 82633705514. Its totient is φ = 82633705512.

The previous prime is 82633705499. The next prime is 82633705523. The reversal of 82633705513 is 31550733628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72324958489 + 10308747024 = 268933^2 + 101532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82633705513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82633705513.

It is not a weakly prime, because it can be changed into another prime (82633705523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316852756 + 41316852757.

It is an arithmetic number, because the mean of its divisors is an integer number (41316852757).

Almost surely, 282633705513 is an apocalyptic number.

It is an amenable number.

82633705513 is a deficient number, since it is larger than the sum of its proper divisors (1).

82633705513 is an equidigital number, since it uses as much as digits as its factorization.

82633705513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 82633705513 in words is "eighty-two billion, six hundred thirty-three million, seven hundred five thousand, five hundred thirteen".