82098118253 has 2 divisors, whose sum is σ = 82098118254. Its totient is φ = 82098118252.

The previous prime is 82098118237. The next prime is 82098118279. The reversal of 82098118253 is 35281189028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82017513769 + 80604484 = 286387^2 + 8978^2 .

It is a cyclic number.

It is not a de Polignac number, because 82098118253 - 2⁴ = 82098118237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82098118198 and 82098118207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82098168253) 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, 41049059126 + 41049059127.

It is an arithmetic number, because the mean of its divisors is an integer number (41049059127).

Almost surely, 2^82098118253 is an apocalyptic number.

It is an amenable number.

82098118253 is a deficient number, since it is larger than the sum of its proper divisors (1).

82098118253 is an equidigital number, since it uses as much as digits as its factorization.

82098118253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 82098118253 in words is "eighty-two billion, ninety-eight million, one hundred eighteen thousand, two hundred fifty-three".