531808479504 has 225 divisors, whose sum is σ = 1576311241351. Its totient is φ = 173095254720.

The previous prime is 531808479497. The next prime is 531808479509. The reversal of 531808479504 is 405974808135.

The square root of 531808479504 is 729252.

It is a perfect power (a square), and thus also a powerful number.

531808479504 is a `hidden beast` number, since 53 + 1 + 8 + 0 + 84 + 7 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531808479509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1233894169 + ... + 1233894599.

Almost surely, 2^531808479504 is an apocalyptic number.

531808479504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

531808479504 is the 729252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531808479504

531808479504 is an abundant number, since it is smaller than the sum of its proper divisors (1044502761847).

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

531808479504 is an frugal number, since it uses more digits than its factorization.

531808479504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 531808479504 in words is "five hundred thirty-one billion, eight hundred eight million, four hundred seventy-nine thousand, five hundred four".