82833042802757 has 16 divisors (see below), whose sum is σ = 91621850502000. Its totient is φ = 74389800771072.

The previous prime is 82833042802721. The next prime is 82833042802759. The reversal of 82833042802757 is 75720824033828.

It is a Cunningham number, because it is equal to 9101266²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2727696677476 + 80105346125281 = 1651574^2 + 8950159^2 .

It is a cyclic number.

It is not a de Polignac number, because 82833042802757 - 2⁶ = 82833042802693 is a prime.

It is a super-2 number, since 2×82833042802757² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82833042802696 and 82833042802705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82833042802759) 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 in 15 ways as a sum of consecutive naturals, for example, 1520369 + ... + 12960617.

It is an arithmetic number, because the mean of its divisors is an integer number (5726365656375).

Almost surely, 2^{82833042802757} is an apocalyptic number.

It is an amenable number.

82833042802757 is a deficient number, since it is larger than the sum of its proper divisors (8788807699243).

82833042802757 is a wasteful number, since it uses less digits than its factorization.

82833042802757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455352.

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 82833042802757 in words is "eighty-two trillion, eight hundred thirty-three billion, forty-two million, eight hundred two thousand, seven hundred fifty-seven".