1006078116677 has 2 divisors, whose sum is σ = 1006078116678. Its totient is φ = 1006078116676.

The previous prime is 1006078116559. The next prime is 1006078116733. The reversal of 1006078116677 is 7766118706001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005445392961 + 632723716 = 1002719^2 + 25154^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006078116677 - 2²⁸ = 1005809681221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006078116977) 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, 503039058338 + 503039058339.

It is an arithmetic number, because the mean of its divisors is an integer number (503039058339).

Almost surely, 2^{1006078116677} is an apocalyptic number.

It is an amenable number.

1006078116677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006078116677 is an equidigital number, since it uses as much as digits as its factorization.

1006078116677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 592704, while the sum is 50.

The spelling of 1006078116677 in words is "one trillion, six billion, seventy-eight million, one hundred sixteen thousand, six hundred seventy-seven".