10582016509 has 8 divisors (see below), whose sum is σ = 10973691000. Its totient is φ = 10192127232.

The previous prime is 10582016453. The next prime is 10582016527. The reversal of 10582016509 is 90561028501.

It can be written as a sum of positive squares in 4 ways, for example, as 1389425625 + 9192590884 = 37275^2 + 95878^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10582016509 - 2¹⁹ = 10581492221 is a prime.

It is a super-2 number, since 2×10582016509² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582016209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434224 + ... + 457945.

It is an arithmetic number, because the mean of its divisors is an integer number (1371711375).

Almost surely, 2^10582016509 is an apocalyptic number.

It is an amenable number.

10582016509 is a deficient number, since it is larger than the sum of its proper divisors (391674491).

10582016509 is an equidigital number, since it uses as much as digits as its factorization.

10582016509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892607.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 10582016509 in words is "ten billion, five hundred eighty-two million, sixteen thousand, five hundred nine".