10582000000001 has 8 divisors (see below), whose sum is σ = 10584869550984. Its totient is φ = 10579130813440.

The previous prime is 10581999999959. The next prime is 10582000000007. The reversal of 10582000000001 is 10000000028501.

It can be written as a sum of positive squares in 4 ways, for example, as 72240000625 + 10509759999376 = 268775^2 + 3241876^2 .

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 10582000000001 - 2³⁴ = 10564820130817 is a prime.

It is a super-2 number, since 2×10582000000001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10582000000007) 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, 63960281 + ... + 64125513.

It is an arithmetic number, because the mean of its divisors is an integer number (1323108693873).

Almost surely, 2^{10582000000001} is an apocalyptic number.

It is an amenable number.

10582000000001 is a deficient number, since it is larger than the sum of its proper divisors (2869550983).

10582000000001 is a wasteful number, since it uses less digits than its factorization.

10582000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182211.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10582000000001 its reverse (10000000028501), we get a palindrome (20582000028502).

The spelling of 10582000000001 in words is "ten trillion, five hundred eighty-two billion, one", and thus it is an aban number.