825758151228 has 144 divisors (see below), whose sum is σ = 2147875119936. Its totient is φ = 267384499200.

The previous prime is 825758151223. The next prime is 825758151269. The reversal of 825758151228 is 822151857528.

825758151228 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 581 + 51 + 2 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825758151221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90173226 + ... + 90182382.

It is an arithmetic number, because the mean of its divisors is an integer number (14915799444).

Almost surely, 2^825758151228 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 825758151228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073937559968).

825758151228 is an abundant number, since it is smaller than the sum of its proper divisors (1322116968708).

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

825758151228 is a wasteful number, since it uses less digits than its factorization.

825758151228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9679 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 54.

The spelling of 825758151228 in words is "eight hundred twenty-five billion, seven hundred fifty-eight million, one hundred fifty-one thousand, two hundred twenty-eight".