1004220113177 has 2 divisors, whose sum is σ = 1004220113178. Its totient is φ = 1004220113176.

The previous prime is 1004220113101. The next prime is 1004220113207. The reversal of 1004220113177 is 7713110224001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695524308361 + 308695804816 = 833981^2 + 555604^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004220113177 - 2¹⁶ = 1004220047641 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004220113777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502110056588 + 502110056589.

It is an arithmetic number, because the mean of its divisors is an integer number (502110056589).

Almost surely, 2^{1004220113177} is an apocalyptic number.

It is an amenable number.

1004220113177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004220113177 is an equidigital number, since it uses as much as digits as its factorization.

1004220113177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 1004220113177 its reverse (7713110224001), we get a palindrome (8717330337178).

The spelling of 1004220113177 in words is "one trillion, four billion, two hundred twenty million, one hundred thirteen thousand, one hundred seventy-seven".