825008544 has 48 divisors (see below), whose sum is σ = 2406277440. Its totient is φ = 275002560.

The previous prime is 825008543. The next prime is 825008567. The reversal of 825008544 is 445800528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 825008499 and 825008508.

It is not an unprimeable number, because it can be changed into a prime (825008543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476572 + ... + 478299.

It is an arithmetic number, because the mean of its divisors is an integer number (50130780).

Almost surely, 2^825008544 is an apocalyptic number.

It is an amenable number.

825008544 is an abundant number, since it is smaller than the sum of its proper divisors (1581268896).

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

825008544 is a wasteful number, since it uses less digits than its factorization.

825008544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954890 (or 954876 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 825008544 is about 28722.9619642543. The cubic root of 825008544 is about 937.8919653778.

The spelling of 825008544 in words is "eight hundred twenty-five million, eight thousand, five hundred forty-four".