10582079508029 has 2 divisors, whose sum is σ = 10582079508030. Its totient is φ = 10582079508028.

The previous prime is 10582079507999. The next prime is 10582079508059. The reversal of 10582079508029 is 92080597028501.

It is a balanced prime because it is at equal distance from previous prime (10582079507999) and next prime (10582079508059).

It can be written as a sum of positive squares in only one way, i.e., 10072816012900 + 509263495129 = 3173770^2 + 713627^2 .

It is an emirp because it is prime and its reverse (92080597028501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10582079508029 - 2⁸ = 10582079507773 is a prime.

It is a super-2 number, since 2×10582079508029² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10582079508059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291039754014 + 5291039754015.

It is an arithmetic number, because the mean of its divisors is an integer number (5291039754015).

Almost surely, 2^{10582079508029} is an apocalyptic number.

It is an amenable number.

10582079508029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10582079508029 is an equidigital number, since it uses as much as digits as its factorization.

10582079508029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 10582079508029 in words is "ten trillion, five hundred eighty-two billion, seventy-nine million, five hundred eight thousand, twenty-nine".