512242540412544 has 96 divisors (see below), whose sum is σ = 1481668736991300. Its totient is φ = 169862811254784.

The previous prime is 512242540412509. The next prime is 512242540412599. The reversal of 512242540412544 is 445214045242215.

512242540412544 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 4 + 2 + 540 + 41 + 25 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424806725505600 + 87435814906944 = 20610840^2 + 9350712^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 512242540412544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151733579 + ... + 1152178250.

Almost surely, 2^{512242540412544} is an apocalyptic number.

It is an amenable number.

512242540412544 is an abundant number, since it is smaller than the sum of its proper divisors (969426196578756).

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

512242540412544 is a wasteful number, since it uses less digits than its factorization.

512242540412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303912042 (or 2303912027 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 512242540412544 its reverse (445214045242215), we get a palindrome (957456585654759).

The spelling of 512242540412544 in words is "five hundred twelve trillion, two hundred forty-two billion, five hundred forty million, four hundred twelve thousand, five hundred forty-four".