1017054720677 has 2 divisors, whose sum is σ = 1017054720678. Its totient is φ = 1017054720676.

The previous prime is 1017054720593. The next prime is 1017054720691. The reversal of 1017054720677 is 7760274507101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861776165761 + 155278554916 = 928319^2 + 394054^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017054720677 - 2²⁴ = 1017037943461 is a prime.

It is a super-3 number, since 3×1017054720677³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017054720697) 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, 508527360338 + 508527360339.

It is an arithmetic number, because the mean of its divisors is an integer number (508527360339).

Almost surely, 2^{1017054720677} is an apocalyptic number.

It is an amenable number.

1017054720677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017054720677 is an equidigital number, since it uses as much as digits as its factorization.

1017054720677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576240, while the sum is 47.

The spelling of 1017054720677 in words is "one trillion, seventeen billion, fifty-four million, seven hundred twenty thousand, six hundred seventy-seven".