516465540 has 36 divisors (see below), whose sum is σ = 1566612684. Its totient is φ = 137724096.

The previous prime is 516465511. The next prime is 516465541. The reversal of 516465540 is 45564615.

516465540 is a `hidden beast` number, since 5 + 1 + 646 + 5 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324864576 + 191600964 = 18024^2 + 13842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 516465495 and 516465504.

It is not an unprimeable number, because it can be changed into a prime (516465541) by changing a digit.

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, 1434447 + ... + 1434806.

It is an arithmetic number, because the mean of its divisors is an integer number (43517019).

Almost surely, 2^516465540 is an apocalyptic number.

It is an amenable number.

516465540 is an abundant number, since it is smaller than the sum of its proper divisors (1050147144).

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

516465540 is a wasteful number, since it uses less digits than its factorization.

516465540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869268 (or 2869263 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 516465540 is about 22725.8782008529. The cubic root of 516465540 is about 802.3190729631.

The spelling of 516465540 in words is "five hundred sixteen million, four hundred sixty-five thousand, five hundred forty".