51015 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 25632.

The previous prime is 51001. The next prime is 51031.

51015 = 99² + 100² + ... + 103².

51015 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51015 - 2⁶ = 50951 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁵¹⁰¹⁵ is an apocalyptic number.

51015 is a deficient number, since it is larger than the sum of its proper divisors (35385).

51015 is a wasteful number, since it uses less digits than its factorization.

51015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

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

The square root of 51015 is about 225.8650039293. The cubic root of 51015 is about 37.0879330517.

Adding to 51015 its product of nonzero digits (25), we get a triangular number (51040 = T₃₁₉).

It can be divided in two parts, 510 and 15, that added together give a palindrome (525).

The spelling of 51015 in words is "fifty-one thousand, fifteen".