6330985661025 has 243 divisors, whose sum is σ = 12006236237619. Its totient is φ = 3188942043840.

The previous prime is 6330985661003. The next prime is 6330985661051. The reversal of 6330985661025 is 5201665890336.

It is a happy number.

The square root of 6330985661025 is 2516145.

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

6330985661025 is a `hidden beast` number, since 63 + 3 + 0 + 9 + 8 + 566 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2279154837969 + 4051830823056 = 1509687^2 + 2012916^2 .

It is not a de Polignac number, because 6330985661025 - 2¹⁹ = 6330985136737 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 76276935634 + ... + 76276935716.

Almost surely, 2^{6330985661025} is an apocalyptic number.

6330985661025 is the 2516145-th square number.

6330985661025 is the 1258073-rd centered octagonal number.

It is an amenable number.

6330985661025 is a deficient number, since it is larger than the sum of its proper divisors (5675250576594).

6330985661025 is an equidigital number, since it uses as much as digits as its factorization.

6330985661025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 6330985661025 in words is "six trillion, three hundred thirty billion, nine hundred eighty-five million, six hundred sixty-one thousand, twenty-five".