516395 has 16 divisors (see below), whose sum is σ = 695520. Its totient is φ = 364800.

The previous prime is 516391. The next prime is 516407. The reversal of 516395 is 593615.

It is not a de Polignac number, because 516395 - 2² = 516391 is a prime.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516395.

It is not an unprimeable number, because it can be changed into a prime (516391) 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 15 ways as a sum of consecutive naturals, for example, 2141 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2⁵¹⁶³⁹⁵ is an apocalyptic number.

516395 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516395 is a deficient number, since it is larger than the sum of its proper divisors (179125).

516395 is a wasteful number, since it uses less digits than its factorization.

516395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its digits is 4050, while the sum is 29.

The square root of 516395 is about 718.6062899808. The cubic root of 516395 is about 80.2282543798.

It can be divided in two parts, 51 and 6395, that added together give a palindrome (6446).

The spelling of 516395 in words is "five hundred sixteen thousand, three hundred ninety-five".