516575640564 has 120 divisors (see below), whose sum is σ = 1375596457928. Its totient is φ = 168995496960.

The previous prime is 516575640541. The next prime is 516575640587. The reversal of 516575640564 is 465046575615.

516575640564 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 75 + 6 + 4 + 0 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (516575640541) and next prime (516575640587).

It can be written as a sum of positive squares in 4 ways, for example, as 142802363664 + 373773276900 = 377892^2 + 611370^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 516575640564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9003552 + ... + 9060744.

Almost surely, 2^516575640564 is an apocalyptic number.

516575640564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516575640564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687798228964).

516575640564 is an abundant number, since it is smaller than the sum of its proper divisors (859020817364).

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

516575640564 is a wasteful number, since it uses less digits than its factorization.

516575640564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57727 (or 57716 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 516575640564 in words is "five hundred sixteen billion, five hundred seventy-five million, six hundred forty thousand, five hundred sixty-four".