506539902576312 has 160 divisors (see below), whose sum is σ = 1549727489819520. Its totient is φ = 153301897892160.

The previous prime is 506539902576307. The next prime is 506539902576313. The reversal of 506539902576312 is 213675209935605.

506539902576312 is a `hidden beast` number, since 5 + 0 + 6 + 53 + 9 + 9 + 0 + 2 + 576 + 3 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 506539902576312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506539902576313) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 39538548 + ... + 50758019.

It is an arithmetic number, because the mean of its divisors is an integer number (9685796811372).

Almost surely, 2^{506539902576312} is an apocalyptic number.

It is an amenable number.

506539902576312 is an abundant number, since it is smaller than the sum of its proper divisors (1043187587243208).

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

506539902576312 is a wasteful number, since it uses less digits than its factorization.

506539902576312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90297383 (or 90297370 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 506539902576312 in words is "five hundred six trillion, five hundred thirty-nine billion, nine hundred two million, five hundred seventy-six thousand, three hundred twelve".