16329006225 has 81 divisors (see below), whose sum is σ = 34050074097. Its totient is φ = 7458554880.

The previous prime is 16329006217. The next prime is 16329006251. The reversal of 16329006225 is 52260092361.

The square root of 16329006225 is 127785.

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

16329006225 is a `hidden beast` number, since 1 + 6 + 3 + 29 + 0 + 0 + 622 + 5 = 666.

16329006225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1514221569 + 14814784656 = 38913^2 + 121716^2 .

It is not a de Polignac number, because 16329006225 - 2³ = 16329006217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16329006225.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 13416817 + ... + 13418033.

Almost surely, 2^16329006225 is an apocalyptic number.

16329006225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16329006225 is the 127785-th square number.

16329006225 is the 63893-rd centered octagonal number.

It is an amenable number.

16329006225 is an abundant number, since it is smaller than the sum of its proper divisors (17721067872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16329006225 is an equidigital number, since it uses as much as digits as its factorization.

16329006225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 16329006225 by its sum of digits (36), we get a square (587844224100 = 766710²).

Adding to 16329006225 its reverse (52260092361), we get a palindrome (68589098586).

The spelling of 16329006225 in words is "sixteen billion, three hundred twenty-nine million, six thousand, two hundred twenty-five".