516054 has 32 divisors (see below), whose sum is σ = 1287936. Its totient is φ = 133920.

The previous prime is 516053. The next prime is 516077. The reversal of 516054 is 450615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 516054.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516054.

It is not an unprimeable number, because it can be changed into a prime (516053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (40248).

2⁵¹⁶⁰⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643968).

516054 is an abundant number, since it is smaller than the sum of its proper divisors (771882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516054 is a wasteful number, since it uses less digits than its factorization.

516054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 516054 is about 718.3689859675. The cubic root of 516054 is about 80.2105909898.

Adding to 516054 its reverse (450615), we get a palindrome (966669).

It can be divided in two parts, 51 and 6054, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 516054 in words is "five hundred sixteen thousand, fifty-four".