516064583552 has 64 divisors (see below), whose sum is σ = 1176769144800. Its totient is φ = 220831586304.

The previous prime is 516064583497. The next prime is 516064583579. The reversal of 516064583552 is 255385460615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 516064583552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144074 + ... + 1026102.

Almost surely, 2^516064583552 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 516064583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588384572400).

516064583552 is an abundant number, since it is smaller than the sum of its proper divisors (660704561248).

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

516064583552 is an equidigital number, since it uses as much as digits as its factorization.

516064583552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882703 (or 882691 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 50.

The spelling of 516064583552 in words is "five hundred sixteen billion, sixty-four million, five hundred eighty-three thousand, five hundred fifty-two".