7051 has 4 divisors (see below), whose sum is σ = 7704. Its totient is φ = 6400.

The previous prime is 7043. The next prime is 7057. The reversal of 7051 is 1507.

7051 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1507 = 11 ⋅137.

It is a 8-Lehmer number, since φ(7051) divides (7051-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 7051 - 2³ = 7043 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (7057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (1926).

7051 is a deficient number, since it is larger than the sum of its proper divisors (653).

7051 is a wasteful number, since it uses less digits than its factorization.

7051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 7051 is about 83.9702328209. The cubic root of 7051 is about 19.1756563584.

Adding to 7051 its reverse (1507), we get a palindrome (8558).

It can be divided in two parts, 70 and 51, that multiplied together give a triangular number (3570 = T₈₄).

The spelling of 7051 in words is "seven thousand, fifty-one".