825647746528 has 48 divisors (see below), whose sum is σ = 1774564412544. Its totient is φ = 375019672960.

The previous prime is 825647746471. The next prime is 825647746529.

825647746528 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 825647746528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825647746529) 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 7 ways as a sum of consecutive naturals, for example, 376750 + ... + 1339117.

It is an arithmetic number, because the mean of its divisors is an integer number (36970091928).

Almost surely, 2^825647746528 is an apocalyptic number.

825647746528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

825647746528 is an abundant number, since it is smaller than the sum of its proper divisors (948916666016).

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

825647746528 is a wasteful number, since it uses less digits than its factorization.

825647746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717255 (or 1717247 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

The spelling of 825647746528 in words is "eight hundred twenty-five billion, six hundred forty-seven million, seven hundred forty-six thousand, five hundred twenty-eight".