506306621520 has 480 divisors, whose sum is σ = 1964336774400. Its totient is φ = 114477981696.

The previous prime is 506306621503. The next prime is 506306621521. The reversal of 506306621520 is 25126603605.

It is a happy number.

506306621520 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 0 + 6 + 621 + 5 + 20 = 666.

It is a super-2 number, since 2×506306621520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506306621521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219274126 + ... + 219276434.

It is an arithmetic number, because the mean of its divisors is an integer number (4092368280).

Almost surely, 2^506306621520 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 506306621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982168387200).

506306621520 is an abundant number, since it is smaller than the sum of its proper divisors (1458030152880).

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

506306621520 is a wasteful number, since it uses less digits than its factorization.

506306621520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 506306621520 in words is "five hundred six billion, three hundred six million, six hundred twenty-one thousand, five hundred twenty".