1071033827921 has 2 divisors, whose sum is σ = 1071033827922. Its totient is φ = 1071033827920.

The previous prime is 1071033827777. The next prime is 1071033828061. The reversal of 1071033827921 is 1297283301701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 937837296400 + 133196531521 = 968420^2 + 364961^2 .

It is a cyclic number.

It is not a de Polignac number, because 1071033827921 - 2³⁴ = 1053853958737 is a prime.

It is a super-2 number, since 2×1071033827921² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1071033827221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 535516913960 + 535516913961.

It is an arithmetic number, because the mean of its divisors is an integer number (535516913961).

Almost surely, 2^{1071033827921} is an apocalyptic number.

It is an amenable number.

1071033827921 is a deficient number, since it is larger than the sum of its proper divisors (1).

1071033827921 is an equidigital number, since it uses as much as digits as its factorization.

1071033827921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 1071033827921 in words is "one trillion, seventy-one billion, thirty-three million, eight hundred twenty-seven thousand, nine hundred twenty-one".