1006677377077 has 2 divisors, whose sum is σ = 1006677377078. Its totient is φ = 1006677377076.

The previous prime is 1006677377023. The next prime is 1006677377107. The reversal of 1006677377077 is 7707737766001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534947422801 + 471729954276 = 731401^2 + 686826^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006677377077 - 2³⁵ = 972317638709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006677377477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503338688538 + 503338688539.

It is an arithmetic number, because the mean of its divisors is an integer number (503338688539).

Almost surely, 2^{1006677377077} is an apocalyptic number.

It is an amenable number.

1006677377077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006677377077 is an equidigital number, since it uses as much as digits as its factorization.

1006677377077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12706092, while the sum is 58.

The spelling of 1006677377077 in words is "one trillion, six billion, six hundred seventy-seven million, three hundred seventy-seven thousand, seventy-seven".