1020338368177 has 2 divisors, whose sum is σ = 1020338368178. Its totient is φ = 1020338368176.

The previous prime is 1020338368151. The next prime is 1020338368199. The reversal of 1020338368177 is 7718638330201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 938029053361 + 82309314816 = 968519^2 + 286896^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020338368177 - 2¹¹ = 1020338366129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020338368177.

It is not a weakly prime, because it can be changed into another prime (1020338368877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510169184088 + 510169184089.

It is an arithmetic number, because the mean of its divisors is an integer number (510169184089).

Almost surely, 2^{1020338368177} is an apocalyptic number.

It is an amenable number.

1020338368177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020338368177 is an equidigital number, since it uses as much as digits as its factorization.

1020338368177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 1020338368177 in words is "one trillion, twenty billion, three hundred thirty-eight million, three hundred sixty-eight thousand, one hundred seventy-seven".