5248101600 has 432 divisors, whose sum is σ = 21838602240. Its totient is φ = 1160524800.

The previous prime is 5248101583. The next prime is 5248101611. The reversal of 5248101600 is 61018425.

5248101600 is a `hidden beast` number, since 5 + 2 + 48 + 10 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1560721 + ... + 1564079.

It is an arithmetic number, because the mean of its divisors is an integer number (50552320).

Almost surely, 2^5248101600 is an apocalyptic number.

5248101600 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 5248101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

5248101600 is an abundant number, since it is smaller than the sum of its proper divisors (16590500640).

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

5248101600 is a wasteful number, since it uses less digits than its factorization.

5248101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5248101600 is about 72443.7823418960. The cubic root of 5248101600 is about 1737.8038086487.

The spelling of 5248101600 in words is "five billion, two hundred forty-eight million, one hundred one thousand, six hundred".