10184325481521 has 27 divisors (see below), whose sum is σ = 14994236640747. Its totient is φ = 6661113703920.

The previous prime is 10184325481481. The next prime is 10184325481529. The reversal of 10184325481521 is 12518452348101.

The square root of 10184325481521 is 3191289.

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

10184325481521 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 43 + 2 + 5 + 4 + 81 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7341850872225 + 2842474609296 = 2709585^2 + 1685964^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10184325481521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10184325481529) 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 26 ways as a sum of consecutive naturals, for example, 507404916 + ... + 507424986.

Almost surely, 2^{10184325481521} is an apocalyptic number.

10184325481521 is the 3191289-th square number.

10184325481521 is the 1595645-th centered octagonal number.

It is an amenable number.

10184325481521 is a deficient number, since it is larger than the sum of its proper divisors (4809911159226).

10184325481521 is an frugal number, since it uses more digits than its factorization.

10184325481521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40254 (or 20127 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

It can be divided in two parts, 101843 and 25481521, that added together give a square (25583364 = 5058²).

The spelling of 10184325481521 in words is "ten trillion, one hundred eighty-four billion, three hundred twenty-five million, four hundred eighty-one thousand, five hundred twenty-one".