829533050 has 24 divisors (see below), whose sum is σ = 1552773756. Its totient is φ = 329696640.

The previous prime is 829532983. The next prime is 829533053. The reversal of 829533050 is 50335928.

It can be written as a sum of positive squares in 6 ways, for example, as 349353481 + 480179569 = 18691^2 + 21913^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 829533050.

It is not an unprimeable number, because it can be changed into a prime (829533053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44987 + ... + 60686.

Almost surely, 2^829533050 is an apocalyptic number.

829533050 is a deficient number, since it is larger than the sum of its proper divisors (723240706).

829533050 is a wasteful number, since it uses less digits than its factorization.

829533050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105842 (or 105837 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 829533050 is about 28801.6154060844. The cubic root of 829533050 is about 939.6033674466.

Adding to 829533050 its reverse (50335928), we get a palindrome (879868978).

The spelling of 829533050 in words is "eight hundred twenty-nine million, five hundred thirty-three thousand, fifty".