825222222528 has 336 divisors, whose sum is σ = 2439094992768. Its totient is φ = 246013644800.

The previous prime is 825222222527. The next prime is 825222222553.

825222222528 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 825222222528.

It is not an unprimeable number, because it can be changed into a prime (825222222527) 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, 541839175 + ... + 541840697.

It is an arithmetic number, because the mean of its divisors is an integer number (7259211288).

Almost surely, 2^825222222528 is an apocalyptic number.

825222222528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825222222528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219547496384).

825222222528 is an abundant number, since it is smaller than the sum of its proper divisors (1613872770240).

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

825222222528 is a wasteful number, since it uses less digits than its factorization.

825222222528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The spelling of 825222222528 in words is "eight hundred twenty-five billion, two hundred twenty-two million, two hundred twenty-two thousand, five hundred twenty-eight".