516131616 has 384 divisors, whose sum is σ = 1877686272. Its totient is φ = 119808000.

The previous prime is 516131597. The next prime is 516131633. The reversal of 516131616 is 616131615.

Its product of digits (3240) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3939871 + ... + 3940001.

It is an arithmetic number, because the mean of its divisors is an integer number (4889808).

Almost surely, 2^516131616 is an apocalyptic number.

516131616 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 516131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938843136).

516131616 is an abundant number, since it is smaller than the sum of its proper divisors (1361554656).

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

516131616 is a wasteful number, since it uses less digits than its factorization.

516131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 516131616 is about 22718.5302341503. The cubic root of 516131616 is about 802.1461208915.

Subtracting 516131616 from its reverse (616131615), we obtain a palindrome (99999999).

The spelling of 516131616 in words is "five hundred sixteen million, one hundred thirty-one thousand, six hundred sixteen".