10026410405509 has 2 divisors, whose sum is σ = 10026410405510. Its totient is φ = 10026410405508.

The previous prime is 10026410405471. The next prime is 10026410405521. The reversal of 10026410405509 is 90550401462001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6556211460100 + 3470198945409 = 2560510^2 + 1862847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10026410405509 - 2¹⁷ = 10026410274437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10026410405569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5013205202754 + 5013205202755.

It is an arithmetic number, because the mean of its divisors is an integer number (5013205202755).

Almost surely, 2^{10026410405509} is an apocalyptic number.

It is an amenable number.

10026410405509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10026410405509 is an equidigital number, since it uses as much as digits as its factorization.

10026410405509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10026410405509 in words is "ten trillion, twenty-six billion, four hundred ten million, four hundred five thousand, five hundred nine".