516381696 has 176 divisors, whose sum is σ = 1611398400. Its totient is φ = 162902016.

The previous prime is 516381631. The next prime is 516381707. The reversal of 516381696 is 696183615.

516381696 is a `hidden beast` number, since 5 + 1 + 638 + 1 + 6 + 9 + 6 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 524821 + ... + 525803.

Almost surely, 2^516381696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805699200).

516381696 is an abundant number, since it is smaller than the sum of its proper divisors (1095016704).

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

516381696 is a wasteful number, since it uses less digits than its factorization.

516381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1007 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 516381696 is about 22724.0334447914. The cubic root of 516381696 is about 802.2756539444.

The spelling of 516381696 in words is "five hundred sixteen million, three hundred eighty-one thousand, six hundred ninety-six".