5241852000 has 1152 divisors, whose sum is σ = 24334442496. Its totient is φ = 1036800000.

The previous prime is 5241851987. The next prime is 5241852013. The reversal of 5241852000 is 2581425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5241851987) and next prime (5241852013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85931970 + ... + 85932030.

It is an arithmetic number, because the mean of its divisors is an integer number (21123648).

Almost surely, 2^5241852000 is an apocalyptic number.

5241852000 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 5241852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167221248).

5241852000 is an abundant number, since it is smaller than the sum of its proper divisors (19092590496).

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

5241852000 is a wasteful number, since it uses less digits than its factorization.

5241852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5241852000 is about 72400.6353563282. The cubic root of 5241852000 is about 1737.1137246652.

The spelling of 5241852000 in words is "five billion, two hundred forty-one million, eight hundred fifty-two thousand".