825353536 has 112 divisors (see below), whose sum is σ = 1993977216. Its totient is φ = 330891264.

The previous prime is 825353513. The next prime is 825353539. The reversal of 825353536 is 635353528.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825353539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337936 + ... + 2338288.

It is an arithmetic number, because the mean of its divisors is an integer number (17803368).

Almost surely, 2^825353536 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 825353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996988608).

825353536 is an abundant number, since it is smaller than the sum of its proper divisors (1168623680).

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

825353536 is a wasteful number, since it uses less digits than its factorization.

825353536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The square root of 825353536 is about 28728.9668453288. The cubic root of 825353536 is about 938.0226792297.

The spelling of 825353536 in words is "eight hundred twenty-five million, three hundred fifty-three thousand, five hundred thirty-six".