1017138812077 has 2 divisors, whose sum is σ = 1017138812078. Its totient is φ = 1017138812076.

The previous prime is 1017138812057. The next prime is 1017138812117. The reversal of 1017138812077 is 7702188317101.

1017138812077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 827901631881 + 189237180196 = 909891^2 + 435014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017138812077 - 2³⁹ = 467382998189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017138812017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508569406038 + 508569406039.

It is an arithmetic number, because the mean of its divisors is an integer number (508569406039).

Almost surely, 2^{1017138812077} is an apocalyptic number.

It is an amenable number.

1017138812077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017138812077 is an equidigital number, since it uses as much as digits as its factorization.

1017138812077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 131712, while the sum is 46.

The spelling of 1017138812077 in words is "one trillion, seventeen billion, one hundred thirty-eight million, eight hundred twelve thousand, seventy-seven".