825262227972 has 144 divisors (see below), whose sum is σ = 2570864080512. Its totient is φ = 217364912640.

The previous prime is 825262227893. The next prime is 825262227973. The reversal of 825262227972 is 279722262528.

825262227972 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 622 + 2 + 7 + 9 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (825262227973) 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 47 ways as a sum of consecutive naturals, for example, 2327523 + ... + 2658549.

Almost surely, 2^825262227972 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 825262227972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285432040256).

825262227972 is an abundant number, since it is smaller than the sum of its proper divisors (1745601852540).

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

825262227972 is a wasteful number, since it uses less digits than its factorization.

825262227972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331818 (or 331813 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 825262227972 in words is "eight hundred twenty-five billion, two hundred sixty-two million, two hundred twenty-seven thousand, nine hundred seventy-two".