825407004564 has 144 divisors (see below), whose sum is σ = 2219343235200. Its totient is φ = 258114650112.

The previous prime is 825407004563. The next prime is 825407004641. The reversal of 825407004564 is 465400704528.

825407004564 is a `hidden beast` number, since 8 + 2 + 540 + 7 + 0 + 0 + 45 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825407004563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10781332 + ... + 10857620.

It is an arithmetic number, because the mean of its divisors is an integer number (15412105800).

Almost surely, 2^825407004564 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 825407004564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109671617600).

825407004564 is an abundant number, since it is smaller than the sum of its proper divisors (1393936230636).

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

825407004564 is a wasteful number, since it uses less digits than its factorization.

825407004564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76574 (or 76569 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 825407004564 in words is "eight hundred twenty-five billion, four hundred seven million, four thousand, five hundred sixty-four".