8182620378953 has 2 divisors, whose sum is σ = 8182620378954. Its totient is φ = 8182620378952.

The previous prime is 8182620378937. The next prime is 8182620379033. The reversal of 8182620378953 is 3598730262818.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5946901645129 + 2235718733824 = 2438627^2 + 1495232^2 .

It is a cyclic number.

It is not a de Polignac number, because 8182620378953 - 2⁴ = 8182620378937 is a prime.

It is a super-3 number, since 3×8182620378953³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8182620378853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4091310189476 + 4091310189477.

It is an arithmetic number, because the mean of its divisors is an integer number (4091310189477).

Almost surely, 2^{8182620378953} is an apocalyptic number.

It is an amenable number.

8182620378953 is a deficient number, since it is larger than the sum of its proper divisors (1).

8182620378953 is an equidigital number, since it uses as much as digits as its factorization.

8182620378953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 8182620378953 in words is "eight trillion, one hundred eighty-two billion, six hundred twenty million, three hundred seventy-eight thousand, nine hundred fifty-three".