825780582 has 80 divisors (see below), whose sum is σ = 2027944512. Its totient is φ = 250105320.

The previous prime is 825780581. The next prime is 825780583. The reversal of 825780582 is 285087528.

It is an interprime number because it is at equal distance from previous prime (825780581) and next prime (825780583).

It is a super-3 number, since 3×825780582³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825780581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432073 + ... + 433979.

Almost surely, 2^825780582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825780582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013972256).

825780582 is an abundant number, since it is smaller than the sum of its proper divisors (1202163930).

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

825780582 is an equidigital number, since it uses as much as digits as its factorization.

825780582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 825780582 is about 28736.3982085438. The cubic root of 825780582 is about 938.1844320414.

The spelling of 825780582 in words is "eight hundred twenty-five million, seven hundred eighty thousand, five hundred eighty-two".