5257552000 has 256 divisors, whose sum is σ = 13713598080. Its totient is φ = 2002636800.

The previous prime is 5257551983. The next prime is 5257552019. The reversal of 5257552000 is 2557525.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49135947 + ... + 49136053.

Almost surely, 2^5257552000 is an apocalyptic number.

5257552000 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 5257552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

5257552000 is an abundant number, since it is smaller than the sum of its proper divisors (8456046080).

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

5257552000 is a wasteful number, since it uses less digits than its factorization.

5257552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The square root of 5257552000 is about 72508.9787543584. The cubic root of 5257552000 is about 1738.8462867654.

The spelling of 5257552000 in words is "five billion, two hundred fifty-seven million, five hundred fifty-two thousand".