Search a number
-
+
82535952349 is a prime number
BaseRepresentation
bin100110011011110000…
…1101010111111011101
321220001001221210122001
41030313201222333131
52323013200433344
6101525543522301
75651214006454
oct1146741527735
9256031853561
1082535952349
1132004436674
1213bb5159391
137a24641636
143dcd8a7b9b
152230e4bed4
hex133786afdd

82535952349 has 2 divisors, whose sum is σ = 82535952350. Its totient is φ = 82535952348.

The previous prime is 82535952313. The next prime is 82535952383. The reversal of 82535952349 is 94325953528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81790280100 + 745672249 = 285990^2 + 27307^2 .

It is a cyclic number.

It is not a de Polignac number, because 82535952349 - 233 = 73946017757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82535952349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82535959349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41267976174 + 41267976175.

It is an arithmetic number, because the mean of its divisors is an integer number (41267976175).

Almost surely, 282535952349 is an apocalyptic number.

It is an amenable number.

82535952349 is a deficient number, since it is larger than the sum of its proper divisors (1).

82535952349 is an equidigital number, since it uses as much as digits as its factorization.

82535952349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664000, while the sum is 55.

The spelling of 82535952349 in words is "eighty-two billion, five hundred thirty-five million, nine hundred fifty-two thousand, three hundred forty-nine".