82048249711 has 2 divisors, whose sum is σ = 82048249712. Its totient is φ = 82048249710.

The previous prime is 82048249709. The next prime is 82048249757. The reversal of 82048249711 is 11794284028.

It is an a-pointer prime, because the next prime (82048249757) can be obtained adding 82048249711 to its sum of digits (46).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82048249711 - 2¹ = 82048249709 is a prime.

It is a super-2 number, since 2×82048249711² (a number of 23 digits) contains 22 as substring.

Together with 82048249709, 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 (82048249211) 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, 41024124855 + 41024124856.

It is an arithmetic number, because the mean of its divisors is an integer number (41024124856).

Almost surely, 2^82048249711 is an apocalyptic number.

82048249711 is a deficient number, since it is larger than the sum of its proper divisors (1).

82048249711 is an equidigital number, since it uses as much as digits as its factorization.

82048249711 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 82048249711 in words is "eighty-two billion, forty-eight million, two hundred forty-nine thousand, seven hundred eleven".