825000528 has 80 divisors (see below), whose sum is σ = 2328725952. Its totient is φ = 249600000.

The previous prime is 825000503. The next prime is 825000557.

825000528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 825000495 and 825000504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633478 + ... + 634778.

Almost surely, 2^825000528 is an apocalyptic number.

825000528 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 825000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164362976).

825000528 is an abundant number, since it is smaller than the sum of its proper divisors (1503725424).

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

825000528 is a wasteful number, since it uses less digits than its factorization.

825000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 825000528 is about 28722.8224239889. The cubic root of 825000528 is about 937.8889277663. Note that the first 3 decimals are identical.

It can be divided in two parts, 825000 and 528, that added together give a palindrome (825528).

The spelling of 825000528 in words is "eight hundred twenty-five million, five hundred twenty-eight", and thus it is an aban number.