83135453129 has 2 divisors, whose sum is σ = 83135453130. Its totient is φ = 83135453128.

The previous prime is 83135453087. The next prime is 83135453161. The reversal of 83135453129 is 92135453138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63877507600 + 19257945529 = 252740^2 + 138773^2 .

It is a cyclic number.

It is not a de Polignac number, because 83135453129 - 2¹⁶ = 83135387593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83135453129.

It is not a weakly prime, because it can be changed into another prime (83135453189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41567726564 + 41567726565.

It is an arithmetic number, because the mean of its divisors is an integer number (41567726565).

Almost surely, 2^83135453129 is an apocalyptic number.

It is an amenable number.

83135453129 is a deficient number, since it is larger than the sum of its proper divisors (1).

83135453129 is an equidigital number, since it uses as much as digits as its factorization.

83135453129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 44.

Subtracting 83135453129 from its reverse (92135453138), we obtain a palindrome (9000000009).

The spelling of 83135453129 in words is "eighty-three billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred twenty-nine".