208531282050 has 648 divisors, whose sum is σ = 726185622708. Its totient is φ = 42522278400.

The previous prime is 208531282013. The next prime is 208531282067. The reversal of 208531282050 is 50282135802.

It can be written as a sum of positive squares in 6 ways, for example, as 49280004081 + 159251277969 = 221991^2 + 399063^2 .

It is a super-3 number, since 3×208531282050³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208531281996 and 208531282014.

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 323 ways as a sum of consecutive naturals, for example, 275470272 + ... + 275471028.

Almost surely, 2^208531282050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208531282050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363092811354).

208531282050 is an abundant number, since it is smaller than the sum of its proper divisors (517654340658).

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

208531282050 is a wasteful number, since it uses less digits than its factorization.

208531282050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 208531282050 in words is "two hundred eight billion, five hundred thirty-one million, two hundred eighty-two thousand, fifty".