7821582201 has 12 divisors (see below), whose sum is σ = 11309910612. Its totient is φ = 5208817536.

The previous prime is 7821582187. The next prime is 7821582227. The reversal of 7821582201 is 1022851287.

7821582201 is a `hidden beast` number, since 78 + 2 + 1 + 582 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3478640400 + 4342941801 = 58980^2 + 65901^2 .

It is not a de Polignac number, because 7821582201 - 2⁵ = 7821582169 is a prime.

It is a super-2 number, since 2×7821582201² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7821582271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455316 + ... + 472181.

It is an arithmetic number, because the mean of its divisors is an integer number (942492551).

Almost surely, 2^7821582201 is an apocalyptic number.

It is an amenable number.

7821582201 is a deficient number, since it is larger than the sum of its proper divisors (3488328411).

7821582201 is a wasteful number, since it uses less digits than its factorization.

7821582201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928440 (or 928437 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7821582201 is about 88439.7094126841. The cubic root of 7821582201 is about 1985.0199289495.

The spelling of 7821582201 in words is "seven billion, eight hundred twenty-one million, five hundred eighty-two thousand, two hundred one".