825250050 has 72 divisors (see below), whose sum is σ = 2271299940. Its totient is φ = 214694400.

The previous prime is 825250033. The next prime is 825250061. The reversal of 825250050 is 50052528.

It can be written as a sum of positive squares in 6 ways, for example, as 193682889 + 631567161 = 13917^2 + 25131^2 .

It is a junction number, because it is equal to n+sod(n) for n = 825249996 and 825250023.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3915 + ... + 40814.

Almost surely, 2^825250050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825250050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135649970).

825250050 is an abundant number, since it is smaller than the sum of its proper divisors (1446049890).

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

825250050 is a wasteful number, since it uses less digits than its factorization.

825250050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44788 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 825250050 is about 28727.1657147029. The cubic root of 825250050 is about 937.9834732943.

The spelling of 825250050 in words is "eight hundred twenty-five million, two hundred fifty thousand, fifty".