506093084532 has 240 divisors, whose sum is σ = 1565957234688. Its totient is φ = 139471813440.

The previous prime is 506093084521. The next prime is 506093084537. The reversal of 506093084532 is 235480390605.

506093084532 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 9 + 30 + 84 + 532 = 666.

It is a super-2 number, since 2×506093084532² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506093084537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21572833 + ... + 21596279.

Almost surely, 2^506093084532 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 506093084532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782978617344).

506093084532 is an abundant number, since it is smaller than the sum of its proper divisors (1059864150156).

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

506093084532 is a wasteful number, since it uses less digits than its factorization.

506093084532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808 (or 23797 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 506093084532 in words is "five hundred six billion, ninety-three million, eighty-four thousand, five hundred thirty-two".