82733581103513 has 2 divisors, whose sum is σ = 82733581103514. Its totient is φ = 82733581103512.

The previous prime is 82733581103479. The next prime is 82733581103521. The reversal of 82733581103513 is 31530118533728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74832326722624 + 7901254380889 = 8650568^2 + 2810917^2 .

It is a cyclic number.

It is not a de Polignac number, because 82733581103513 - 2⁶ = 82733581103449 is a prime.

It is not a weakly prime, because it can be changed into another prime (82733581103533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41366790551756 + 41366790551757.

It is an arithmetic number, because the mean of its divisors is an integer number (41366790551757).

Almost surely, 2^{82733581103513} is an apocalyptic number.

It is an amenable number.

82733581103513 is a deficient number, since it is larger than the sum of its proper divisors (1).

82733581103513 is an equidigital number, since it uses as much as digits as its factorization.

82733581103513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 82733581103513 in words is "eighty-two trillion, seven hundred thirty-three billion, five hundred eighty-one million, one hundred three thousand, five hundred thirteen".