1009977556769 has 2 divisors, whose sum is σ = 1009977556770. Its totient is φ = 1009977556768.

The previous prime is 1009977556739. The next prime is 1009977556771. The reversal of 1009977556769 is 9676557799001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861948841744 + 148028715025 = 928412^2 + 384745^2 .

It is an emirp because it is prime and its reverse (9676557799001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009977556769 - 2⁸ = 1009977556513 is a prime.

It is a super-2 number, since 2×1009977556769² (a number of 25 digits) contains 22 as substring.

Together with 1009977556771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1009977556739) 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, 504988778384 + 504988778385.

It is an arithmetic number, because the mean of its divisors is an integer number (504988778385).

Almost surely, 2^{1009977556769} is an apocalyptic number.

It is an amenable number.

1009977556769 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009977556769 is an equidigital number, since it uses as much as digits as its factorization.

1009977556769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225042300, while the sum is 71.

The spelling of 1009977556769 in words is "one trillion, nine billion, nine hundred seventy-seven million, five hundred fifty-six thousand, seven hundred sixty-nine".