828005825753 has 4 divisors (see below), whose sum is σ = 871585079760. Its totient is φ = 784426571748.

The previous prime is 828005825729. The next prime is 828005825761. The reversal of 828005825753 is 357528500828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 828005825753 - 2⁸ = 828005825497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828005825695 and 828005825704.

It is not an unprimeable number, because it can be changed into a prime (828005885753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21789626975 + ... + 21789627012.

It is an arithmetic number, because the mean of its divisors is an integer number (217896269940).

Almost surely, 2^828005825753 is an apocalyptic number.

It is an amenable number.

828005825753 is a deficient number, since it is larger than the sum of its proper divisors (43579254007).

828005825753 is a wasteful number, since it uses less digits than its factorization.

828005825753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43579254006.

The product of its (nonzero) digits is 5376000, while the sum is 53.

The spelling of 828005825753 in words is "eight hundred twenty-eight billion, five million, eight hundred twenty-five thousand, seven hundred fifty-three".