930825663201 has 48 divisors (see below), whose sum is σ = 1663314326400. Its totient is φ = 503905585248.

The previous prime is 930825663191. The next prime is 930825663211. The reversal of 930825663201 is 102366528039.

930825663201 is a `hidden beast` number, since 9 + 3 + 0 + 8 + 2 + 5 + 6 + 632 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (930825663191) and next prime (930825663211).

It is not a de Polignac number, because 930825663201 - 2¹¹ = 930825661153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (930825663211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6753106 + ... + 6889563.

It is an arithmetic number, because the mean of its divisors is an integer number (34652381800).

Almost surely, 2^930825663201 is an apocalyptic number.

It is an amenable number.

930825663201 is a deficient number, since it is larger than the sum of its proper divisors (732488663199).

930825663201 is a wasteful number, since it uses less digits than its factorization.

930825663201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642723 (or 13642698 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 930825663201 in words is "nine hundred thirty billion, eight hundred twenty-five million, six hundred sixty-three thousand, two hundred one".