10205257223125 has 10 divisors (see below), whose sum is σ = 12752489426798. Its totient is φ = 8164205778000.

The previous prime is 10205257223099. The next prime is 10205257223159. The reversal of 10205257223125 is 52132275250201.

It can be written as a sum of positive squares in 5 ways, for example, as 3184490216196 + 7020767006929 = 1784514^2 + 2649673^2 .

It is not a de Polignac number, because 10205257223125 - 2¹⁵ = 10205257190357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8164205154 + ... + 8164206403.

Almost surely, 2^{10205257223125} is an apocalyptic number.

It is an amenable number.

10205257223125 is a deficient number, since it is larger than the sum of its proper divisors (2547232203673).

10205257223125 is an frugal number, since it uses more digits than its factorization.

10205257223125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16328411577 (or 16328411562 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 10205257223125 in words is "ten trillion, two hundred five billion, two hundred fifty-seven million, two hundred twenty-three thousand, one hundred twenty-five".