1077827047721 has 2 divisors, whose sum is σ = 1077827047722. Its totient is φ = 1077827047720.

The previous prime is 1077827047607. The next prime is 1077827047769. The reversal of 1077827047721 is 1277407287701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 977258782096 + 100568265625 = 988564^2 + 317125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1077827047721 is a prime.

It is a super-2 number, since 2×1077827047721² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1077827067721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538913523860 + 538913523861.

It is an arithmetic number, because the mean of its divisors is an integer number (538913523861).

Almost surely, 2^{1077827047721} is an apocalyptic number.

It is an amenable number.

1077827047721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077827047721 is an equidigital number, since it uses as much as digits as its factorization.

1077827047721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2151296, while the sum is 53.

The spelling of 1077827047721 in words is "one trillion, seventy-seven billion, eight hundred twenty-seven million, forty-seven thousand, seven hundred twenty-one".