1252355200 has 96 divisors (see below), whose sum is σ = 3109036500. Its totient is φ = 498462720.

The previous prime is 1252355197. The next prime is 1252355207. The reversal of 1252355200 is 25532521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 563397696 + 688957504 = 23736^2 + 26248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1252355207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731946 + ... + 733654.

Almost surely, 2^1252355200 is an apocalyptic number.

1252355200 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 1252355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554518250).

1252355200 is an abundant number, since it is smaller than the sum of its proper divisors (1856681300).

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

1252355200 is a wasteful number, since it uses less digits than its factorization.

1252355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 1252355200 is about 35388.6309427194. The cubic root of 1252355200 is about 1077.8934704950.

Adding to 1252355200 its reverse (25532521), we get a palindrome (1277887721).

The spelling of 1252355200 in words is "one billion, two hundred fifty-two million, three hundred fifty-five thousand, two hundred".