1038107663993 has 2 divisors, whose sum is σ = 1038107663994. Its totient is φ = 1038107663992.

The previous prime is 1038107663959. The next prime is 1038107664001. The reversal of 1038107663993 is 3993667018301.

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., 636288596329 + 401819067664 = 797677^2 + 633892^2 .

It is a cyclic number.

It is not a de Polignac number, because 1038107663993 - 2¹⁶ = 1038107598457 is a prime.

It is not a weakly prime, because it can be changed into another prime (1038107663933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519053831996 + 519053831997.

It is an arithmetic number, because the mean of its divisors is an integer number (519053831997).

Almost surely, 2^{1038107663993} is an apocalyptic number.

It is an amenable number.

1038107663993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038107663993 is an equidigital number, since it uses as much as digits as its factorization.

1038107663993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4408992, while the sum is 56.

The spelling of 1038107663993 in words is "one trillion, thirty-eight billion, one hundred seven million, six hundred sixty-three thousand, nine hundred ninety-three".