531975404126464 has 81 divisors (see below), whose sum is σ = 1084981894967551. Its totient is φ = 260319901483520.

The previous prime is 531975404126459. The next prime is 531975404126477. The reversal of 531975404126464 is 464621404579135.

It is a happy number.

The square root of 531975404126464 is 23064592.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17344557849 + ... + 17344588519.

Almost surely, 2^{531975404126464} is an apocalyptic number.

531975404126464 is the 23064592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531975404126464

531975404126464 is an abundant number, since it is smaller than the sum of its proper divisors (553006490841087).

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

531975404126464 is an frugal number, since it uses more digits than its factorization.

531975404126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61452 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 531975404126464 in words is "five hundred thirty-one trillion, nine hundred seventy-five billion, four hundred four million, one hundred twenty-six thousand, four hundred sixty-four".