506552507775376 has 80 divisors (see below), whose sum is σ = 1050277875507504. Its totient is φ = 235833156698112.

The previous prime is 506552507775337. The next prime is 506552507775397. The reversal of 506552507775376 is 673577705255605.

It can be written as a sum of positive squares in 8 ways, for example, as 87657529753600 + 418894978021776 = 9362560^2 + 20466924^2 .

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 15 ways as a sum of consecutive naturals, for example, 68041416 + ... + 75118168.

Almost surely, 2^{506552507775376} 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 506552507775376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525138937753752).

506552507775376 is an abundant number, since it is smaller than the sum of its proper divisors (543725367732128).

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

506552507775376 is a wasteful number, since it uses less digits than its factorization.

506552507775376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079588 (or 7079582 counting only the distinct ones).

The product of its (nonzero) digits is 1620675000, while the sum is 70.

The spelling of 506552507775376 in words is "five hundred six trillion, five hundred fifty-two billion, five hundred seven million, seven hundred seventy-five thousand, three hundred seventy-six".