515816 has 32 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 216000.

The previous prime is 515813. The next prime is 515839. The reversal of 515816 is 618515.

It is a super-2 number, since 2×515816² = 532132291712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3341 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

515816 is a Friedman number, since it can be written as (8+1)^6-5^(5+1), using all its digits and the basic arithmetic operations.

2⁵¹⁵⁸¹⁶ is an apocalyptic number.

515816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

515816 is an abundant number, since it is smaller than the sum of its proper divisors (615064).

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

515816 is a wasteful number, since it uses less digits than its factorization.

515816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 1200, while the sum is 26.

The square root of 515816 is about 718.2033138325. The cubic root of 515816 is about 80.1982582649.

It can be divided in two parts, 5158 and 16, that multiplied together give a palindrome (82528).

The spelling of 515816 in words is "five hundred fifteen thousand, eight hundred sixteen".