5338102500 has 420 divisors, whose sum is σ = 18284818860. Its totient is φ = 1360800000.

The previous prime is 5338102447. The next prime is 5338102501. The reversal of 5338102500 is 52018335.

5338102500 is a `hidden beast` number, since 53 + 3 + 8 + 102 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2554695936 + 2783406564 = 50544^2 + 52758^2 .

It is a super-3 number, since 3×5338102500³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338102501) by changing a digit.

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 139 ways as a sum of consecutive naturals, for example, 52852450 + ... + 52852550.

It is an arithmetic number, because the mean of its divisors is an integer number (43535283).

Almost surely, 2^5338102500 is an apocalyptic number.

5338102500 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 5338102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142409430).

5338102500 is an abundant number, since it is smaller than the sum of its proper divisors (12946716360).

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

5338102500 is a wasteful number, since it uses less digits than its factorization.

5338102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5338102500 is about 73062.3192897680. The cubic root of 5338102500 is about 1747.6815556730.

The spelling of 5338102500 in words is "five billion, three hundred thirty-eight million, one hundred two thousand, five hundred".