10084351753 has 12 divisors (see below), whose sum is σ = 11733994692. Its totient is φ = 8641358880.

The previous prime is 10084351751. The next prime is 10084351769. The reversal of 10084351753 is 35715348001.

10084351753 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9370820809 + 713530944 = 96803^2 + 26712^2 .

It is not a de Polignac number, because 10084351753 - 2¹ = 10084351751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10084351751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165663 + ... + 218203.

It is an arithmetic number, because the mean of its divisors is an integer number (977832891).

Almost surely, 2^10084351753 is an apocalyptic number.

It is an amenable number.

10084351753 is a deficient number, since it is larger than the sum of its proper divisors (1649642939).

10084351753 is an equidigital number, since it uses as much as digits as its factorization.

10084351753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56472 (or 56465 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

Adding to 10084351753 its reverse (35715348001), we get a palindrome (45799699754).

The spelling of 10084351753 in words is "ten billion, eighty-four million, three hundred fifty-one thousand, seven hundred fifty-three".