1005556010077 has 2 divisors, whose sum is σ = 1005556010078. Its totient is φ = 1005556010076.

The previous prime is 1005556010047. The next prime is 1005556010159. The reversal of 1005556010077 is 7700106555001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 749703149316 + 255852860761 = 865854^2 + 505819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005556010077 is a prime.

It is a super-2 number, since 2×1005556010077² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005556010047) 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, 502778005038 + 502778005039.

It is an arithmetic number, because the mean of its divisors is an integer number (502778005039).

Almost surely, 2^{1005556010077} is an apocalyptic number.

It is an amenable number.

1005556010077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005556010077 is an equidigital number, since it uses as much as digits as its factorization.

1005556010077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 37.

The spelling of 1005556010077 in words is "one trillion, five billion, five hundred fifty-six million, ten thousand, seventy-seven".