827731485252 has 192 divisors, whose sum is σ = 2461297305600. Its totient is φ = 235651628160.

The previous prime is 827731485193. The next prime is 827731485253. The reversal of 827731485252 is 252584137728.

827731485252 is a `hidden beast` number, since 8 + 2 + 7 + 73 + 1 + 48 + 525 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (827731485253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411600927 + ... + 411602937.

It is an arithmetic number, because the mean of its divisors is an integer number (12819256800).

Almost surely, 2^827731485252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827731485252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230648652800).

827731485252 is an abundant number, since it is smaller than the sum of its proper divisors (1633565820348).

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

827731485252 is a wasteful number, since it uses less digits than its factorization.

827731485252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3695 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 827731485252 in words is "eight hundred twenty-seven billion, seven hundred thirty-one million, four hundred eighty-five thousand, two hundred fifty-two".