5251251200 has 264 divisors, whose sum is σ = 14498655360. Its totient is φ = 1872691200.

The previous prime is 5251251157. The next prime is 5251251209. The reversal of 5251251200 is 21521525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5251251209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10316546 + ... + 10317054.

Almost surely, 2^5251251200 is an apocalyptic number.

5251251200 is a gapful number since it is divisible by the number (50) 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 5251251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249327680).

5251251200 is an abundant number, since it is smaller than the sum of its proper divisors (9247404160).

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

5251251200 is a wasteful number, since it uses less digits than its factorization.

5251251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 5251251200 is about 72465.5173168591. The cubic root of 5251251200 is about 1738.1513814616.

Adding to 5251251200 its reverse (21521525), we get a palindrome (5272772725).

The spelling of 5251251200 in words is "five billion, two hundred fifty-one million, two hundred fifty-one thousand, two hundred".