10271825 has 12 divisors (see below), whose sum is σ = 13486860. Its totient is φ = 7733760.

The previous prime is 10271809. The next prime is 10271827. The reversal of 10271825 is 52817201.

10271825 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 6 ways, for example, as 1024144 + 9247681 = 1012^2 + 3041^2 .

It is not a de Polignac number, because 10271825 - 2⁴ = 10271809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10271794 and 10271803.

It is not an unprimeable number, because it can be changed into a prime (10271827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11660 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (1123905).

Almost surely, 2^10271825 is an apocalyptic number.

It is an amenable number.

10271825 is a deficient number, since it is larger than the sum of its proper divisors (3215035).

10271825 is a wasteful number, since it uses less digits than its factorization.

10271825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24196 (or 24191 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 10271825 is about 3204.9687986001. The cubic root of 10271825 is about 217.3781411015.

The spelling of 10271825 in words is "ten million, two hundred seventy-one thousand, eight hundred twenty-five".