6538817250 has 288 divisors, whose sum is σ = 20773988352. Its totient is φ = 1479643200.

The previous prime is 6538817213. The next prime is 6538817261. The reversal of 6538817250 is 527188356.

6538817250 is a `hidden beast` number, since 6 + 5 + 388 + 17 + 250 = 666.

It is a super-2 number, since 2×6538817250² = 85512262057795125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6538817196 and 6538817205.

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 143 ways as a sum of consecutive naturals, for example, 14001517 + ... + 14001983.

It is an arithmetic number, because the mean of its divisors is an integer number (72131904).

Almost surely, 2^6538817250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6538817250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386994176).

6538817250 is an abundant number, since it is smaller than the sum of its proper divisors (14235171102).

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

6538817250 is a wasteful number, since it uses less digits than its factorization.

6538817250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 6538817250 is about 80862.9535077714. The cubic root of 6538817250 is about 1869.9632286134.

The spelling of 6538817250 in words is "six billion, five hundred thirty-eight million, eight hundred seventeen thousand, two hundred fifty".