10826125 has 16 divisors (see below), whose sum is σ = 13603824. Its totient is φ = 8601600.

The previous prime is 10826117. The next prime is 10826129. The reversal of 10826125 is 52162801.

10826125 is digitally balanced in base 3, 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 8 ways, for example, as 1602756 + 9223369 = 1266^2 + 3037^2 .

It is not a de Polignac number, because 10826125 - 2³ = 10826117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10826125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31957 + ... + 32293.

It is an arithmetic number, because the mean of its divisors is an integer number (850239).

Almost surely, 2^10826125 is an apocalyptic number.

It is an amenable number.

10826125 is a deficient number, since it is larger than the sum of its proper divisors (2777699).

10826125 is an equidigital number, since it uses as much as digits as its factorization.

10826125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10826125 is about 3290.3077363675. The cubic root of 10826125 is about 221.2199784773.

Adding to 10826125 its reverse (52162801), we get a palindrome (62988926).

It can be divided in two parts, 108 and 26125, that multiplied together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 10826125 in words is "ten million, eight hundred twenty-six thousand, one hundred twenty-five".