82278408131 has 2 divisors, whose sum is σ = 82278408132. Its totient is φ = 82278408130.

The previous prime is 82278408101. The next prime is 82278408133. The reversal of 82278408131 is 13180487228.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82278408131 - 2²⁶ = 82211299267 is a prime.

It is a super-2 number, since 2×82278408131² (a number of 23 digits) contains 22 as substring.

Together with 82278408133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82278408133) 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, 41139204065 + 41139204066.

It is an arithmetic number, because the mean of its divisors is an integer number (41139204066).

Almost surely, 2^82278408131 is an apocalyptic number.

82278408131 is a deficient number, since it is larger than the sum of its proper divisors (1).

82278408131 is an equidigital number, since it uses as much as digits as its factorization.

82278408131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 82278408131 in words is "eighty-two billion, two hundred seventy-eight million, four hundred eight thousand, one hundred thirty-one".