2008251 has 24 divisors (see below), whose sum is σ = 3354624. Its totient is φ = 1134000.

The previous prime is 2008247. The next prime is 2008271. The reversal of 2008251 is 1528002.

It is not a de Polignac number, because 2008251 - 2² = 2008247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2008231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7876 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (139776).

2^2008251 is an apocalyptic number.

2008251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2008251 is a deficient number, since it is larger than the sum of its proper divisors (1346373).

2008251 is a wasteful number, since it uses less digits than its factorization.

2008251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2008251 is about 1417.1277288939. The cubic root of 2008251 is about 126.1651274155.

Subtracting from 2008251 its reverse (1528002), we obtain a square (480249 = 693²).

The spelling of 2008251 in words is "two million, eight thousand, two hundred fifty-one".