51915 has 8 divisors (see below), whose sum is σ = 83088. Its totient is φ = 27680.

The previous prime is 51913. The next prime is 51929.

It is a happy number.

51915 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 51915 - 2¹ = 51913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51891 and 51900.

It is not an unprimeable number, because it can be changed into a prime (51913) 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, 1716 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (10386).

2⁵¹⁹¹⁵ is an apocalyptic number.

51915 is a deficient number, since it is larger than the sum of its proper divisors (31173).

51915 is a wasteful number, since it uses less digits than its factorization.

51915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469.

The product of its digits is 225, while the sum is 21.

The square root of 51915 is about 227.8486339656. The cubic root of 51915 is about 37.3047630763.

It can be divided in two parts, 51 and 915, that multiplied together give a triangular number (46665 = T₃₀₅).

The spelling of 51915 in words is "fifty-one thousand, nine hundred fifteen".