1038364379729 has 2 divisors, whose sum is σ = 1038364379730. Its totient is φ = 1038364379728.

The previous prime is 1038364379719. The next prime is 1038364379737. The reversal of 1038364379729 is 9279734638301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1027431586129 + 10932793600 = 1013623^2 + 104560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1038364379729 is a prime.

It is a super-2 number, since 2×1038364379729² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1038364379719) 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, 519182189864 + 519182189865.

It is an arithmetic number, because the mean of its divisors is an integer number (519182189865).

Almost surely, 2^{1038364379729} is an apocalyptic number.

It is an amenable number.

1038364379729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038364379729 is an equidigital number, since it uses as much as digits as its factorization.

1038364379729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41150592, while the sum is 62.

The spelling of 1038364379729 in words is "one trillion, thirty-eight billion, three hundred sixty-four million, three hundred seventy-nine thousand, seven hundred twenty-nine".