516544512 has 96 divisors (see below), whose sum is σ = 1502504640. Its totient is φ = 156508160.

The previous prime is 516544493. The next prime is 516544513. The reversal of 516544512 is 215445615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516544513) 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, 63763 + ... + 71405.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2^516544512 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 516544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

516544512 is an abundant number, since it is smaller than the sum of its proper divisors (985960128).

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

516544512 is a wasteful number, since it uses less digits than its factorization.

516544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7659 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 516544512 is about 22727.6156250496. The cubic root of 516544512 is about 802.3599646960.

The spelling of 516544512 in words is "five hundred sixteen million, five hundred forty-four thousand, five hundred twelve".