5271824250 has 768 divisors, whose sum is σ = 19624550400. Its totient is φ = 1047816000.

The previous prime is 5271824237. The next prime is 5271824263. The reversal of 5271824250 is 524281725.

It is a happy number.

5271824250 is a `hidden beast` number, since 52 + 7 + 182 + 425 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5271824237) and next prime (5271824263).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 229209739 + ... + 229209761.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 2^5271824250 is an apocalyptic number.

5271824250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271824250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

5271824250 is an abundant number, since it is smaller than the sum of its proper divisors (14352726150).

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

5271824250 is a wasteful number, since it uses less digits than its factorization.

5271824250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5271824250 is about 72607.3291755040. The cubic root of 5271824250 is about 1740.4183001450.

The spelling of 5271824250 in words is "five billion, two hundred seventy-one million, eight hundred twenty-four thousand, two hundred fifty".