2051 has 4 divisors (see below), whose sum is σ = 2352. Its totient is φ = 1752.

The previous prime is 2039. The next prime is 2053. The reversal of 2051 is 1502.

2051 = 14² + 15² + ... + 20².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1502 = 2 ⋅751.

It is a cyclic number.

It is not a de Polignac number, because 2051 - 2⁶ = 1987 is a prime.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2051 is a deficient number, since it is larger than the sum of its proper divisors (301).

2051 is an equidigital number, since it uses as much as digits as its factorization.

2051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 2051 is about 45.2879674969. The cubic root of 2051 is about 12.7054061758.

Adding to 2051 its reverse (1502), we get a palindrome (3553).

The spelling of 2051 in words is "two thousand, fifty-one".