829591316075953 has 2 divisors, whose sum is σ = 829591316075954. Its totient is φ = 829591316075952.

The previous prime is 829591316075947. The next prime is 829591316075959. The reversal of 829591316075953 is 359570613195928.

It is a balanced prime because it is at equal distance from previous prime (829591316075947) and next prime (829591316075959).

It can be written as a sum of positive squares in only one way, i.e., 730503486397584 + 99087829678369 = 27027828^2 + 9954287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829591316075953 is a prime.

It is a super-3 number, since 3×829591316075953³ (a number of 46 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (829591316075959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414795658037976 + 414795658037977.

It is an arithmetic number, because the mean of its divisors is an integer number (414795658037977).

Almost surely, 2^{829591316075953} is an apocalyptic number.

It is an amenable number.

829591316075953 is a deficient number, since it is larger than the sum of its proper divisors (1).

829591316075953 is an equidigital number, since it uses as much as digits as its factorization.

829591316075953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 551124000, while the sum is 73.

The spelling of 829591316075953 in words is "eight hundred twenty-nine trillion, five hundred ninety-one billion, three hundred sixteen million, seventy-five thousand, nine hundred fifty-three".