506321405545500 has 144 divisors (see below), whose sum is σ = 1599586812139680. Its totient is φ = 134823644064000.

The previous prime is 506321405545489. The next prime is 506321405545507. The reversal of 506321405545500 is 5545504123605.

506321405545500 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 2 + 1 + 40 + 5 + 54 + 550 + 0 = 666.

It is a super-2 number, since 2×506321405545500² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506321405545507) 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 47 ways as a sum of consecutive naturals, for example, 78305745 + ... + 84524744.

It is an arithmetic number, because the mean of its divisors is an integer number (11108241750970).

Almost surely, 2^{506321405545500} is an apocalyptic number.

506321405545500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506321405545500 is an abundant number, since it is smaller than the sum of its proper divisors (1093265406594180).

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

506321405545500 is a wasteful number, since it uses less digits than its factorization.

506321405545500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162831205 (or 162831190 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 506321405545500 in words is "five hundred six trillion, three hundred twenty-one billion, four hundred five million, five hundred forty-five thousand, five hundred".