5151 has 8 divisors (see below), whose sum is σ = 7344. Its totient is φ = 3200.

The previous prime is 5147. The next prime is 5153. The reversal of 5151 is 1515.

5151 is a nontrivial binomial coefficient, being equal to C(102, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(5151) divides (5151-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 5151 - 2² = 5147 is a prime.

5151 is an undulating number in base 10.

5151 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (918).

2⁵¹⁵¹ is an apocalyptic number.

5151 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5151 is the 101-st triangular number and also the 51-st hexagonal number.

5151 is a deficient number, since it is larger than the sum of its proper divisors (2193).

5151 is a wasteful number, since it uses less digits than its factorization.

5151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its digits is 25, while the sum is 12.

The square root of 5151 is about 71.7704674640. The cubic root of 5151 is about 17.2701926945.

Adding to 5151 its reverse (1515), we get a palindrome (6666).

The spelling of 5151 in words is "five thousand, one hundred fifty-one".