10083527158849 has 9 divisors (see below), whose sum is σ = 10103435162121. Its totient is φ = 10063658324400.

The previous prime is 10083527158829. The next prime is 10083527158921. The reversal of 10083527158849 is 94885172538001.

The square root of 10083527158849 is 3175457.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98988890625 + 9984538268224 = 314625^2 + 3159832^2 .

It is not a de Polignac number, because 10083527158849 - 2⁹ = 10083527158337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10083527158819) 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 8 ways as a sum of consecutive naturals, for example, 1768726699 + ... + 1768732399.

Almost surely, 2^{10083527158849} is an apocalyptic number.

10083527158849 is the 3175457-th square number.

10083527158849 is the 1587729-th centered octagonal number.

It is an amenable number.

10083527158849 is a deficient number, since it is larger than the sum of its proper divisors (19908003272).

10083527158849 is an frugal number, since it uses more digits than its factorization.

10083527158849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 10083527158849 in words is "ten trillion, eighty-three billion, five hundred twenty-seven million, one hundred fifty-eight thousand, eight hundred forty-nine".