30009963078225 has 135 divisors (see below), whose sum is σ = 58257244801509. Its totient is φ = 14767298956800.

The previous prime is 30009963078181. The next prime is 30009963078229. The reversal of 30009963078225 is 52287036990003.

It is a happy number.

The square root of 30009963078225 is 5478135.

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

30009963078225 is a `hidden beast` number, since 300 + 0 + 9 + 9 + 6 + 307 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 14722269715521 + 15287693362704 = 3836961^2 + 3909948^2 .

It is not a de Polignac number, because 30009963078225 - 2¹⁹ = 30009962553937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30009963078229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13887071145 + ... + 13887073305.

Almost surely, 2^{30009963078225} is an apocalyptic number.

30009963078225 is the 5478135-th square number.

30009963078225 is the 2739068-th centered octagonal number.

It is an amenable number.

30009963078225 is a deficient number, since it is larger than the sum of its proper divisors (28247281723284).

30009963078225 is an frugal number, since it uses more digits than its factorization.

30009963078225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30009963078225 in words is "thirty trillion, nine billion, nine hundred sixty-three million, seventy-eight thousand, two hundred twenty-five".