516451104 has 72 divisors (see below), whose sum is σ = 1581642972. Its totient is φ = 158906880.

The previous prime is 516451099. The next prime is 516451121. The reversal of 516451104 is 401154615.

516451104 is a `hidden beast` number, since 5 + 1 + 645 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 500864400 + 15586704 = 22380^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 65227 + ... + 72714.

Almost surely, 2^516451104 is an apocalyptic number.

It is an amenable number.

516451104 is an abundant number, since it is smaller than the sum of its proper divisors (1065191868).

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

516451104 is a wasteful number, since it uses less digits than its factorization.

516451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137970 (or 137959 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 516451104 is about 22725.5605871450. The cubic root of 516451104 is about 802.3115975460.

The spelling of 516451104 in words is "five hundred sixteen million, four hundred fifty-one thousand, one hundred four".