1252531200 has 264 divisors, whose sum is σ = 4239942912. Its totient is φ = 325959680.

The previous prime is 1252531187. The next prime is 1252531201. The reversal of 1252531200 is 21352521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252531201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609427 + ... + 3609773.

Almost surely, 2^1252531200 is an apocalyptic number.

1252531200 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 1252531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119971456).

1252531200 is an abundant number, since it is smaller than the sum of its proper divisors (2987411712).

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

1252531200 is a wasteful number, since it uses less digits than its factorization.

1252531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1252531200 is about 35391.1175296853. The cubic root of 1252531200 is about 1077.9439621245.

Adding to 1252531200 its reverse (21352521), we get a palindrome (1273883721).

The spelling of 1252531200 in words is "one billion, two hundred fifty-two million, five hundred thirty-one thousand, two hundred".