10834331828825 has 12 divisors (see below), whose sum is σ = 13762243943868. Its totient is φ = 8456063865600.

The previous prime is 10834331828807. The next prime is 10834331829001. The reversal of 10834331828825 is 52882813343801.

It can be written as a sum of positive squares in 6 ways, for example, as 3349533209929 + 7484798618896 = 1830173^2 + 2735836^2 .

It is not a de Polignac number, because 10834331828825 - 2²⁶ = 10834264719961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5285038892 + ... + 5285040941.

It is an arithmetic number, because the mean of its divisors is an integer number (1146853661989).

Almost surely, 2^{10834331828825} is an apocalyptic number.

It is an amenable number.

10834331828825 is a deficient number, since it is larger than the sum of its proper divisors (2927912115043).

10834331828825 is a wasteful number, since it uses less digits than its factorization.

10834331828825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570079884 (or 10570079879 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 10834331828825 in words is "ten trillion, eight hundred thirty-four billion, three hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred twenty-five".