825235280 has 40 divisors (see below), whose sum is σ = 1921731912. Its totient is φ = 329567744.

The previous prime is 825235261. The next prime is 825235321. The reversal of 825235280 is 82532528.

It can be written as a sum of positive squares in 4 ways, for example, as 71842576 + 753392704 = 8476^2 + 27448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 825235280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44342 + ... + 60138.

Almost surely, 2^825235280 is an apocalyptic number.

825235280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825235280 is an abundant number, since it is smaller than the sum of its proper divisors (1096496632).

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

825235280 is a wasteful number, since it uses less digits than its factorization.

825235280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 825235280 is about 28726.9086398102. The cubic root of 825235280 is about 937.9778773748.

The spelling of 825235280 in words is "eight hundred twenty-five million, two hundred thirty-five thousand, two hundred eighty".