10250205205 has 16 divisors (see below), whose sum is σ = 12741850800. Its totient is φ = 7910256640.

The previous prime is 10250205151. The next prime is 10250205257. The reversal of 10250205205 is 50250205201.

10250205205 is digitally balanced in base 2, 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 8 ways, for example, as 2189397681 + 8060807524 = 46791^2 + 89782^2 .

It is not a de Polignac number, because 10250205205 - 2⁹ = 10250204693 is a prime.

10250205205 is a modest number, since divided by 205205 gives 10250 as remainder.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 262660 + ... + 299149.

It is an arithmetic number, because the mean of its divisors is an integer number (796365675).

Almost surely, 2^10250205205 is an apocalyptic number.

It is an amenable number.

10250205205 is a deficient number, since it is larger than the sum of its proper divisors (2491645595).

10250205205 is an equidigital number, since it uses as much as digits as its factorization.

10250205205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561944.

The product of its (nonzero) digits is 1000, while the sum is 22.

It can be divided in two parts, 1025020 and 5205, that added together give a square (1030225 = 1015²).

The spelling of 10250205205 in words is "ten billion, two hundred fifty million, two hundred five thousand, two hundred five".