82335337312957 has 2 divisors, whose sum is σ = 82335337312958. Its totient is φ = 82335337312956.

The previous prime is 82335337312937. The next prime is 82335337312997. The reversal of 82335337312957 is 75921373353328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43813093769316 + 38522243543641 = 6619146^2 + 6206629^2 .

It is a cyclic number.

It is not a de Polignac number, because 82335337312957 - 2²³ = 82335328924349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82335337312895 and 82335337312904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82335337312937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41167668656478 + 41167668656479.

It is an arithmetic number, because the mean of its divisors is an integer number (41167668656479).

Almost surely, 2^{82335337312957} is an apocalyptic number.

It is an amenable number.

82335337312957 is a deficient number, since it is larger than the sum of its proper divisors (1).

82335337312957 is an equidigital number, since it uses as much as digits as its factorization.

82335337312957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 85730400, while the sum is 61.

The spelling of 82335337312957 in words is "eighty-two trillion, three hundred thirty-five billion, three hundred thirty-seven million, three hundred twelve thousand, nine hundred fifty-seven".