30807217680625 has 135 divisors (see below), whose sum is σ = 40483131703399. Its totient is φ = 23436114520000.

The previous prime is 30807217680619. The next prime is 30807217680689. The reversal of 30807217680625 is 52608671270803.

The square root of 30807217680625 is 5550425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 17094445818849 + 13712771861776 = 4134543^2 + 3703076^2 .

It is not a de Polignac number, because 30807217680625 - 2⁴³ = 22011124658417 is a prime.

It is a super-2 number, since 2×30807217680625² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 433904474340 + ... + 433904474410.

Almost surely, 2^{30807217680625} is an apocalyptic number.

30807217680625 is the 5550425-th square number.

30807217680625 is the 2775213-rd centered octagonal number.

It is an amenable number.

30807217680625 is a deficient number, since it is larger than the sum of its proper divisors (9675914022774).

30807217680625 is an frugal number, since it uses more digits than its factorization.

30807217680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 30807217680625 in words is "thirty trillion, eight hundred seven billion, two hundred seventeen million, six hundred eighty thousand, six hundred twenty-five".