523231221565504 has 63 divisors (see below), whose sum is σ = 1102961904689127. Its totient is φ = 246224993255424.

The previous prime is 523231221565463. The next prime is 523231221565519. The reversal of 523231221565504 is 405565122132325.

It is a happy number.

The square root of 523231221565504 is 22874248.

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

It can be written as a sum of positive squares in 4 ways, for example, as 615044925504 + 522616176640000 = 784248^2 + 22860800^2 .

It is a super-2 number, since 2×523231221565504² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3110813632 + ... + 3110981824.

Almost surely, 2^{523231221565504} is an apocalyptic number.

523231221565504 is the 22874248-th square number.

It is an amenable number.

523231221565504 is an abundant number, since it is smaller than the sum of its proper divisors (579730683123623).

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

523231221565504 is an frugal number, since it uses more digits than its factorization.

523231221565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336432 (or 168212 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

Adding to 523231221565504 its reverse (405565122132325), we get a palindrome (928796343697829).

The spelling of 523231221565504 in words is "five hundred twenty-three trillion, two hundred thirty-one billion, two hundred twenty-one million, five hundred sixty-five thousand, five hundred four".