516261 has 8 divisors (see below), whose sum is σ = 707104. Its totient is φ = 334800.

The previous prime is 516253. The next prime is 516277. The reversal of 516261 is 162615.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 516261 - 2³ = 516253 is a prime.

It is a Duffinian number.

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 516261.

It is not an unprimeable number, because it can be changed into a prime (516251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (88388).

2⁵¹⁶²⁶¹ is an apocalyptic number.

It is an amenable number.

516261 is a deficient number, since it is larger than the sum of its proper divisors (190843).

516261 is a wasteful number, since it uses less digits than its factorization.

516261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691.

The product of its digits is 360, while the sum is 21.

The square root of 516261 is about 718.5130478982. The cubic root of 516261 is about 80.2213142687.

Adding to 516261 its reverse (162615), we get a palindrome (678876).

It can be divided in two parts, 516 and 261, that added together give a palindrome (777).

The spelling of 516261 in words is "five hundred sixteen thousand, two hundred sixty-one".