1038605213029 has 2 divisors, whose sum is σ = 1038605213030. Its totient is φ = 1038605213028.

The previous prime is 1038605213011. The next prime is 1038605213057. The reversal of 1038605213029 is 9203125068301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750345750625 + 288259462404 = 866225^2 + 536898^2 .

It is an emirp because it is prime and its reverse (9203125068301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1038605213029 - 2¹³ = 1038605204837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1038605212982 and 1038605213000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1038605213329) 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, 519302606514 + 519302606515.

It is an arithmetic number, because the mean of its divisors is an integer number (519302606515).

Almost surely, 2^{1038605213029} is an apocalyptic number.

It is an amenable number.

1038605213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038605213029 is an equidigital number, since it uses as much as digits as its factorization.

1038605213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1038605213029 in words is "one trillion, thirty-eight billion, six hundred five million, two hundred thirteen thousand, twenty-nine".