516938127 has 16 divisors (see below), whose sum is σ = 711238752. Its totient is φ = 333754880.

The previous prime is 516938069. The next prime is 516938129. The reversal of 516938127 is 721839615.

It is a cyclic number.

It is not a de Polignac number, because 516938127 - 2¹⁰ = 516937103 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516938129) 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, 1513 + ... + 32189.

It is an arithmetic number, because the mean of its divisors is an integer number (44452422).

Almost surely, 2^516938127 is an apocalyptic number.

516938127 is a deficient number, since it is larger than the sum of its proper divisors (194300625).

516938127 is a wasteful number, since it uses less digits than its factorization.

516938127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30858.

The product of its digits is 90720, while the sum is 42.

The square root of 516938127 is about 22736.2733753797. The cubic root of 516938127 is about 802.5637165663.

The spelling of 516938127 in words is "five hundred sixteen million, nine hundred thirty-eight thousand, one hundred twenty-seven".