10205052325 has 72 divisors (see below), whose sum is σ = 14239093848. Its totient is φ = 7245987840.

The previous prime is 10205052317. The next prime is 10205052337. The reversal of 10205052325 is 52325050201.

It is a happy number.

10205052325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 36 ways, for example, as 10198172196 + 6880129 = 100986^2 + 2623^2 .

It is not a de Polignac number, because 10205052325 - 2³ = 10205052317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10205052325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15163189 + ... + 15163861.

Almost surely, 2^10205052325 is an apocalyptic number.

It is an amenable number.

10205052325 is a deficient number, since it is larger than the sum of its proper divisors (4034041523).

10205052325 is a wasteful number, since it uses less digits than its factorization.

10205052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 10205052325 in words is "ten billion, two hundred five million, fifty-two thousand, three hundred twenty-five".