5685009201 has 27 divisors (see below), whose sum is σ = 8430602817. Its totient is φ = 3691535040.

The previous prime is 5685009193. The next prime is 5685009203. The reversal of 5685009201 is 1029005865.

It is a happy number.

The square root of 5685009201 is 75399.

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

5685009201 is a `hidden beast` number, since 5 + 68 + 500 + 92 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5255525025 + 429484176 = 72495^2 + 20724^2 .

It is not a de Polignac number, because 5685009201 - 2³ = 5685009193 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5685009203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9273771 + ... + 9274383.

Almost surely, 2^5685009201 is an apocalyptic number.

5685009201 is the 75399-th square number.

5685009201 is the 37700-th centered octagonal number.

It is an amenable number.

5685009201 is a deficient number, since it is larger than the sum of its proper divisors (2745593616).

5685009201 is an frugal number, since it uses more digits than its factorization.

5685009201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 5685009201 is about 1784.7486301868.

Multiplying 5685009201 by its sum of digits (36), we get a square (204660331236 = 452394²).

The spelling of 5685009201 in words is "five billion, six hundred eighty-five million, nine thousand, two hundred one".