10213825 has 6 divisors (see below), whose sum is σ = 12665174. Its totient is φ = 8171040.

The previous prime is 10213807. The next prime is 10213837. The reversal of 10213825 is 52831201.

It can be written as a sum of positive squares in 3 ways, for example, as 923521 + 9290304 = 961^2 + 3048^2 .

It is not a de Polignac number, because 10213825 - 2⁵ = 10213793 is a prime.

It is a super-2 number, since 2×10213825² = 208644442261250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10213796 and 10213805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204252 + ... + 204301.

Almost surely, 2^10213825 is an apocalyptic number.

It is an amenable number.

10213825 is a deficient number, since it is larger than the sum of its proper divisors (2451349).

10213825 is an equidigital number, since it uses as much as digits as its factorization.

10213825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408563 (or 408558 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10213825 is about 3195.9075393384. The cubic root of 10213825 is about 216.9682257199.

The spelling of 10213825 in words is "ten million, two hundred thirteen thousand, eight hundred twenty-five".