516561416 has 32 divisors (see below), whose sum is σ = 1155047040. Its totient is φ = 211757568.

The previous prime is 516561413. The next prime is 516561421. The reversal of 516561416 is 614165615.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (516561413) 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, 199241 + ... + 201816.

It is an arithmetic number, because the mean of its divisors is an integer number (36095220).

Almost surely, 2^516561416 is an apocalyptic number.

516561416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

516561416 is an abundant number, since it is smaller than the sum of its proper divisors (638485624).

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

516561416 is a wasteful number, since it uses less digits than its factorization.

516561416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401093 (or 401089 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 516561416 is about 22727.9875043964. The cubic root of 516561416 is about 802.3687170523.

The spelling of 516561416 in words is "five hundred sixteen million, five hundred sixty-one thousand, four hundred sixteen".