831821760001 has 2 divisors, whose sum is σ = 831821760002. Its totient is φ = 831821760000.

The previous prime is 831821759987. The next prime is 831821760013. The reversal of 831821760001 is 100067128138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 645128633601 + 186693126400 = 803199^2 + 432080^2 .

It is a cyclic number.

It is not a de Polignac number, because 831821760001 - 2¹⁷ = 831821628929 is a prime.

It is a super-2 number, since 2×831821760001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (831821760071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415910880000 + 415910880001.

It is an arithmetic number, because the mean of its divisors is an integer number (415910880001).

Almost surely, 2^831821760001 is an apocalyptic number.

It is an amenable number.

831821760001 is a deficient number, since it is larger than the sum of its proper divisors (1).

831821760001 is an equidigital number, since it uses as much as digits as its factorization.

831821760001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

Adding to 831821760001 its reverse (100067128138), we get a palindrome (931888888139).

The spelling of 831821760001 in words is "eight hundred thirty-one billion, eight hundred twenty-one million, seven hundred sixty thousand, one".