1252524000 has 768 divisors, whose sum is σ = 5353979904. Its totient is φ = 248832000.

The previous prime is 1252523989. The next prime is 1252524001. The reversal of 1252524000 is 4252521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252524001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33851982 + ... + 33852018.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^1252524000 is an apocalyptic number.

1252524000 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 1252524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676989952).

1252524000 is an abundant number, since it is smaller than the sum of its proper divisors (4101455904).

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

1252524000 is a wasteful number, since it uses less digits than its factorization.

1252524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1252524000 is about 35391.0158091005. The cubic root of 1252524000 is about 1077.9418966507.

Adding to 1252524000 its reverse (4252521), we get a palindrome (1256776521).

The spelling of 1252524000 in words is "one billion, two hundred fifty-two million, five hundred twenty-four thousand".