825151241250 has 480 divisors, whose sum is σ = 2666453961600. Its totient is φ = 184182768000.

The previous prime is 825151241221. The next prime is 825151241251. The reversal of 825151241250 is 52142151528.

825151241250 is a `hidden beast` number, since 8 + 2 + 51 + 512 + 41 + 2 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (825151241251) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 165923764 + ... + 165928736.

It is an arithmetic number, because the mean of its divisors is an integer number (5555112420).

Almost surely, 2^825151241250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825151241250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333226980800).

825151241250 is an abundant number, since it is smaller than the sum of its proper divisors (1841302720350).

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

825151241250 is a wasteful number, since it uses less digits than its factorization.

825151241250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 825151241250 its reverse (52142151528), we get a palindrome (877293392778).

The spelling of 825151241250 in words is "eight hundred twenty-five billion, one hundred fifty-one million, two hundred forty-one thousand, two hundred fifty".