11250000 has 120 divisors (see below), whose sum is σ = 39355368. Its totient is φ = 3000000.

The previous prime is 11249981. The next prime is 11250007. The reversal of 11250000 is 5211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 121104 = 3336^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250007) 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 23 ways as a sum of consecutive naturals, for example, 2249998 + ... + 2250002.

Almost surely, 2^11250000 is an apocalyptic number.

11250000 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 11250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677684).

11250000 is an abundant number, since it is smaller than the sum of its proper divisors (28105368).

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

11250000 is an frugal number, since it uses more digits than its factorization.

11250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11250000 is about 3354.1019662497. The cubic root of 11250000 is about 224.0702373279.

Adding to 11250000 its reverse (5211), we get a palindrome (11255211).

The spelling of 11250000 in words is "eleven million, two hundred fifty thousand".