825503142528 has 512 divisors, whose sum is σ = 2658830572800. Its totient is φ = 251088076800.

The previous prime is 825503142521. The next prime is 825503142547. The reversal of 825503142528 is 825241305528.

825503142528 is a `hidden beast` number, since 8 + 2 + 5 + 50 + 31 + 42 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (825503142521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 871702951 + ... + 871703897.

Almost surely, 2^825503142528 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 825503142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329415286400).

825503142528 is an abundant number, since it is smaller than the sum of its proper divisors (1833327430272).

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

825503142528 is a wasteful number, since it uses less digits than its factorization.

825503142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 825503142528 in words is "eight hundred twenty-five billion, five hundred three million, one hundred forty-two thousand, five hundred twenty-eight".