10825000 has 48 divisors (see below), whose sum is σ = 25428060. Its totient is φ = 4320000.

The previous prime is 10824929. The next prime is 10825013. The reversal of 10825000 is 52801.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3218436 + 7606564 = 1794^2 + 2758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24784 + ... + 25216.

Almost surely, 2^10825000 is an apocalyptic number.

10825000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714030).

10825000 is an abundant number, since it is smaller than the sum of its proper divisors (14603060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10825000 is an frugal number, since it uses more digits than its factorization.

10825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10825000 is about 3290.1367752724. The cubic root of 10825000 is about 221.2123154986.

Adding to 10825000 its reverse (52801), we get a palindrome (10877801).

The spelling of 10825000 in words is "ten million, eight hundred twenty-five thousand".