1077273511337 has 2 divisors, whose sum is σ = 1077273511338. Its totient is φ = 1077273511336.

The previous prime is 1077273511297. The next prime is 1077273511339. The reversal of 1077273511337 is 7331153727701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004446932841 + 72826578496 = 1002221^2 + 269864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077273511337 - 2¹⁸ = 1077273249193 is a prime.

Together with 1077273511339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1077273511291 and 1077273511300.

It is not a weakly prime, because it can be changed into another prime (1077273511339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538636755668 + 538636755669.

It is an arithmetic number, because the mean of its divisors is an integer number (538636755669).

Almost surely, 2^{1077273511337} is an apocalyptic number.

It is an amenable number.

1077273511337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077273511337 is an equidigital number, since it uses as much as digits as its factorization.

1077273511337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648270, while the sum is 47.

The spelling of 1077273511337 in words is "one trillion, seventy-seven billion, two hundred seventy-three million, five hundred eleven thousand, three hundred thirty-seven".