53515 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 33120.

The previous prime is 53507. The next prime is 53527. The reversal of 53515 is 51535.

It is not a de Polignac number, because 53515 - 2³ = 53507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53492 and 53501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 316 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵³⁵¹⁵ is an apocalyptic number.

53515 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53515 is a deficient number, since it is larger than the sum of its proper divisors (27125).

53515 is a wasteful number, since it uses less digits than its factorization.

53515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162.

The product of its digits is 375, while the sum is 19.

The square root of 53515 is about 231.3330931795. Note that the first 3 decimals coincide. The cubic root of 53515 is about 37.6841314403.

It can be divided in two parts, 5351 and 5, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 53515 in words is "fifty-three thousand, five hundred fifteen".