5250400400 has 60 divisors (see below), whose sum is σ = 14416107072. Its totient is φ = 1800136320.

The previous prime is 5250400391. The next prime is 5250400433. The reversal of 5250400400 is 40040525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 934772 + ... + 940371.

Almost surely, 2^5250400400 is an apocalyptic number.

5250400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5250400400 is an abundant number, since it is smaller than the sum of its proper divisors (9165706672).

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

5250400400 is a wasteful number, since it uses less digits than its factorization.

5250400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875168 (or 1875157 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5250400400 is about 72459.6467007672. The cubic root of 5250400400 is about 1738.0575054809.

Adding to 5250400400 its reverse (40040525), we get a palindrome (5290440925).

The spelling of 5250400400 in words is "five billion, two hundred fifty million, four hundred thousand, four hundred".