Search a number
-
+
825628000829 is a prime number
BaseRepresentation
bin11000000001110110100…
…00111000001000111101
32220221002102202001222112
430000323100320020331
5102011341232011304
61431142133223405
7113435555133422
oct14007320701075
92827072661875
10825628000829
11299168534075
12114019191b65
135cb196337c8
142bd63ca3d49
15167231b3b6e
hexc03b43823d

825628000829 has 2 divisors, whose sum is σ = 825628000830. Its totient is φ = 825628000828.

The previous prime is 825628000801. The next prime is 825628000919. The reversal of 825628000829 is 928000826528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 768971148100 + 56656852729 = 876910^2 + 238027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-825628000829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825628000129) 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 as a sum of consecutive naturals, namely, 412814000414 + 412814000415.

It is an arithmetic number, because the mean of its divisors is an integer number (412814000415).

Almost surely, 2825628000829 is an apocalyptic number.

It is an amenable number.

825628000829 is a deficient number, since it is larger than the sum of its proper divisors (1).

825628000829 is an equidigital number, since it uses as much as digits as its factorization.

825628000829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 825628000829 in words is "eight hundred twenty-five billion, six hundred twenty-eight million, eight hundred twenty-nine", and thus it is an aban number.