10505825 has 36 divisors (see below), whose sum is σ = 15040704. Its totient is φ = 7260000.

The previous prime is 10505797. The next prime is 10505837. The reversal of 10505825 is 52850501.

It is not a de Polignac number, because 10505825 - 2¹⁴ = 10489441 is a prime.

It is a super-2 number, since 2×10505825² = 220744717861250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10505794 and 10505803.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69500 + ... + 69650.

Almost surely, 2^10505825 is an apocalyptic number.

It is an amenable number.

10505825 is a deficient number, since it is larger than the sum of its proper divisors (4534879).

10505825 is a wasteful number, since it uses less digits than its factorization.

10505825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 10505825 is about 3241.2690415947. The cubic root of 10505825 is about 219.0164426817.

The spelling of 10505825 in words is "ten million, five hundred five thousand, eight hundred twenty-five".