8205725953 has 2 divisors, whose sum is σ = 8205725954. Its totient is φ = 8205725952.

The previous prime is 8205725881. The next prime is 8205725963. The reversal of 8205725953 is 3595275028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8166375424 + 39350529 = 90368^2 + 6273^2 .

It is a cyclic number.

It is not a de Polignac number, because 8205725953 - 2²¹ = 8203628801 is a prime.

It is not a weakly prime, because it can be changed into another prime (8205725963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4102862976 + 4102862977.

It is an arithmetic number, because the mean of its divisors is an integer number (4102862977).

Almost surely, 2^8205725953 is an apocalyptic number.

It is an amenable number.

8205725953 is a deficient number, since it is larger than the sum of its proper divisors (1).

8205725953 is an equidigital number, since it uses as much as digits as its factorization.

8205725953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 46.

The square root of 8205725953 is about 90585.4621503914. The cubic root of 8205725953 is about 2016.9989381280.

The spelling of 8205725953 in words is "eight billion, two hundred five million, seven hundred twenty-five thousand, nine hundred fifty-three".