10086085082753 has 4 divisors (see below), whose sum is σ = 10086119800068. Its totient is φ = 10086050365440.

The previous prime is 10086085082737. The next prime is 10086085082779. The reversal of 10086085082753 is 35728058068001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6422336898289 + 3663748184464 = 2534233^2 + 1914092^2 .

It is a cyclic number.

It is not a de Polignac number, because 10086085082753 - 2⁴ = 10086085082737 is a prime.

It is a super-2 number, since 2×10086085082753² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10086085082695 and 10086085082704.

It is not an unprimeable number, because it can be changed into a prime (10086085082783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16919168 + ... + 17505153.

It is an arithmetic number, because the mean of its divisors is an integer number (2521529950017).

Almost surely, 2^{10086085082753} is an apocalyptic number.

It is an amenable number.

10086085082753 is a deficient number, since it is larger than the sum of its proper divisors (34717315).

10086085082753 is an equidigital number, since it uses as much as digits as its factorization.

10086085082753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34717314.

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 10086085082753 in words is "ten trillion, eighty-six billion, eighty-five million, eighty-two thousand, seven hundred fifty-three".