10257825 has 24 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 5438080.

The previous prime is 10257823. The next prime is 10257829. The reversal of 10257825 is 52875201.

It is not a de Polignac number, because 10257825 - 2¹ = 10257823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10257792 and 10257801.

It is not an unprimeable number, because it can be changed into a prime (10257823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17182 + ... + 17768.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^10257825 is an apocalyptic number.

10257825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10257825 is a deficient number, since it is larger than the sum of its proper divisors (6803583).

10257825 is a wasteful number, since it uses less digits than its factorization.

10257825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 10257825 is about 3202.7839452576. The cubic root of 10257825 is about 217.2793375736.

The spelling of 10257825 in words is "ten million, two hundred fifty-seven thousand, eight hundred twenty-five".