523664980609 has 9 divisors (see below), whose sum is σ = 536158310403. Its totient is φ = 511456332072.

The previous prime is 523664980603. The next prime is 523664980691. The reversal of 523664980609 is 906089466325.

The square root of 523664980609 is 723647.

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

It can be written as a sum of positive squares in only one way, i.e., 10464676209 + 513200304400 = 102297^2 + 716380^2 .

It is not a de Polignac number, because 523664980609 - 2³¹ = 521517496961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (523664980603) 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 8 ways as a sum of consecutive naturals, for example, 31108407 + ... + 31125235.

Almost surely, 2^523664980609 is an apocalyptic number.

523664980609 is the 723647-th square number.

523664980609 is the 361824-th centered octagonal number.

It is an amenable number.

523664980609 is a deficient number, since it is larger than the sum of its proper divisors (12493329794).

523664980609 is an frugal number, since it uses more digits than its factorization.

523664980609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33744 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 523664980609 in words is "five hundred twenty-three billion, six hundred sixty-four million, nine hundred eighty thousand, six hundred nine".