82733408013821 has 2 divisors, whose sum is σ = 82733408013822. Its totient is φ = 82733408013820.

The previous prime is 82733408013779. The next prime is 82733408013833. The reversal of 82733408013821 is 12831080433728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54524711287225 + 28208696726596 = 7384085^2 + 5311186^2 .

It is a cyclic number.

It is not a de Polignac number, because 82733408013821 - 2¹⁰ = 82733408012797 is a prime.

It is a super-3 number, since 3×82733408013821³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82733408013821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82733405013821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41366704006910 + 41366704006911.

It is an arithmetic number, because the mean of its divisors is an integer number (41366704006911).

Almost surely, 2^{82733408013821} is an apocalyptic number.

It is an amenable number.

82733408013821 is a deficient number, since it is larger than the sum of its proper divisors (1).

82733408013821 is an equidigital number, since it uses as much as digits as its factorization.

82733408013821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 82733408013821 in words is "eighty-two trillion, seven hundred thirty-three billion, four hundred eight million, thirteen thousand, eight hundred twenty-one".