516137 has 8 divisors (see below), whose sum is σ = 553896. Its totient is φ = 479232.

The previous prime is 516127. The next prime is 516151. The reversal of 516137 is 731615.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 502681 = 116^2 + 709^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 516137 - 2¹⁶ = 450601 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516127) 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, 1493 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

2⁵¹⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

516137 is a deficient number, since it is larger than the sum of its proper divisors (37759).

516137 is a wasteful number, since it uses less digits than its factorization.

516137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its digits is 630, while the sum is 23.

The square root of 516137 is about 718.4267533994. The cubic root of 516137 is about 80.2148910064.

The spelling of 516137 in words is "five hundred sixteen thousand, one hundred thirty-seven".