82794412350113 has 2 divisors, whose sum is σ = 82794412350114. Its totient is φ = 82794412350112.

The previous prime is 82794412350047. The next prime is 82794412350137. The reversal of 82794412350113 is 31105321449728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81685588608064 + 1108823742049 = 9038008^2 + 1053007^2 .

It is a cyclic number.

It is not a de Polignac number, because 82794412350113 - 2¹⁴ = 82794412333729 is a prime.

It is a super-2 number, since 2×82794412350113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82794412350193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41397206175056 + 41397206175057.

It is an arithmetic number, because the mean of its divisors is an integer number (41397206175057).

Almost surely, 2^{82794412350113} is an apocalyptic number.

It is an amenable number.

82794412350113 is a deficient number, since it is larger than the sum of its proper divisors (1).

82794412350113 is an equidigital number, since it uses as much as digits as its factorization.

82794412350113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 82794412350113 in words is "eighty-two trillion, seven hundred ninety-four billion, four hundred twelve million, three hundred fifty thousand, one hundred thirteen".