2563828209 has 6 divisors (see below), whose sum is σ = 3703307426. Its totient is φ = 1709218800.

The previous prime is 2563828187. The next prime is 2563828217. The reversal of 2563828209 is 9028283652.

It is a happy number.

2563828209 is a `hidden beast` number, since 2 + 5 + 638 + 2 + 8 + 2 + 0 + 9 = 666.

2563828209 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1879482609 + 684345600 = 43353^2 + 26160^2 .

It is not a de Polignac number, because 2563828209 - 2¹⁷ = 2563697137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2563828229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142434892 + ... + 142434909.

Almost surely, 2^2563828209 is an apocalyptic number.

It is an amenable number.

2563828209 is a deficient number, since it is larger than the sum of its proper divisors (1139479217).

2563828209 is a wasteful number, since it uses less digits than its factorization.

2563828209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284869807 (or 284869804 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2563828209 is about 50634.2592421376. The cubic root of 2563828209 is about 1368.6623078616.

The spelling of 2563828209 in words is "two billion, five hundred sixty-three million, eight hundred twenty-eight thousand, two hundred nine".