55519 has 4 divisors (see below), whose sum is σ = 56520. Its totient is φ = 54520.

The previous prime is 55511. The next prime is 55529. The reversal of 55519 is 91555.

55519 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 91555 = 5 ⋅18311.

It is a cyclic number.

It is not a de Polignac number, because 55519 - 2³ = 55511 is a prime.

It is a super-2 number, since 2×55519² = 6164718722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55493 and 55502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (14130).

2⁵⁵⁵¹⁹ is an apocalyptic number.

55519 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

55519 is a deficient number, since it is larger than the sum of its proper divisors (1001).

55519 is an equidigital number, since it uses as much as digits as its factorization.

55519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its digits is 1125, while the sum is 25.

The square root of 55519 is about 235.6247015913. The cubic root of 55519 is about 38.1487704491.

Adding to 55519 its product of digits (1125), we get a square (56644 = 238²).

The spelling of 55519 in words is "fifty-five thousand, five hundred nineteen".