825628000842 has 28 divisors (see below), whose sum is σ = 1856813593650. Its totient is φ = 275209333128.

The previous prime is 825628000829. The next prime is 825628000919. The reversal of 825628000842 is 248000826528.

825628000842 is a `hidden beast` number, since 8 + 2 + 562 + 8 + 0 + 0 + 0 + 84 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 432134002161 + 393493998681 = 657369^2 + 627291^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 283135717 + ... + 283138632.

Almost surely, 2^825628000842 is an apocalyptic number.

825628000842 is an abundant number, since it is smaller than the sum of its proper divisors (1031185592808).

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

825628000842 is an equidigital number, since it uses as much as digits as its factorization.

825628000842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566274369 (or 566274354 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 825628000842 in words is "eight hundred twenty-five billion, six hundred twenty-eight million, eight hundred forty-two", and thus it is an aban number.