825567765528 has 128 divisors (see below), whose sum is σ = 2294697081600. Its totient is φ = 245396236800.

The previous prime is 825567765521. The next prime is 825567765541.

825567765528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825567765521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7123050 + ... + 7238022.

It is an arithmetic number, because the mean of its divisors is an integer number (17927320950).

Almost surely, 2^825567765528 is an apocalyptic number.

825567765528 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 825567765528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147348540800).

825567765528 is an abundant number, since it is smaller than the sum of its proper divisors (1469129316072).

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

825567765528 is a wasteful number, since it uses less digits than its factorization.

825567765528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115513 (or 115509 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 66.

The spelling of 825567765528 in words is "eight hundred twenty-five billion, five hundred sixty-seven million, seven hundred sixty-five thousand, five hundred twenty-eight".