1026038540729 has 2 divisors, whose sum is σ = 1026038540730. Its totient is φ = 1026038540728.

The previous prime is 1026038540663. The next prime is 1026038540809. The reversal of 1026038540729 is 9270458306201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550556580025 + 475481960704 = 741995^2 + 689552^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026038540729 - 2¹⁶ = 1026038475193 is a prime.

It is a super-2 number, since 2×1026038540729² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1026038543729) 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, 513019270364 + 513019270365.

It is an arithmetic number, because the mean of its divisors is an integer number (513019270365).

It is a 1-persistent number, because it is pandigital, but 2⋅1026038540729 = 2052077081458 is not.

Almost surely, 2^{1026038540729} is an apocalyptic number.

It is an amenable number.

1026038540729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026038540729 is an equidigital number, since it uses as much as digits as its factorization.

1026038540729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 1026038540729 in words is "one trillion, twenty-six billion, thirty-eight million, five hundred forty thousand, seven hundred twenty-nine".