15051 has 8 divisors (see below), whose sum is σ = 20880. Its totient is φ = 9632.

The previous prime is 15031. The next prime is 15053.

15051 is nontrivially palindromic in base 10.

15051 is a nontrivial binomial coefficient, being equal to C(174, 2).

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

It is a 5-Lehmer number, since φ(15051) divides (15051-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 15051 - 2⁷ = 14923 is a prime.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (15053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (2610).

2¹⁵⁰⁵¹ is an apocalyptic number.

15051 is the 173-rd triangular number and also the 87-th hexagonal number.

15051 is a deficient number, since it is larger than the sum of its proper divisors (5829).

15051 is a wasteful number, since it uses less digits than its factorization.

15051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

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

The square root of 15051 is about 122.6825170919. The cubic root of 15051 is about 24.6900395294.

The spelling of 15051 in words is "fifteen thousand, fifty-one".