509023744681 has 9 divisors (see below), whose sum is σ = 511042940823. Its totient is φ = 507012503760.

The previous prime is 509023744679. The next prime is 509023744693. The reversal of 509023744681 is 186447320905.

It is a happy number.

The square root of 509023744681 is 713459.

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., 343992807081 + 165030937600 = 586509^2 + 406240^2 .

It is not a de Polignac number, because 509023744681 - 2¹ = 509023744679 is a prime.

It is a super-2 number, since 2×509023744681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509023744631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200480710 + ... + 200483248.

It is a 1-persistent number, because it is pandigital, but 2⋅509023744681 = 1018047489362 is not.

Almost surely, 2^509023744681 is an apocalyptic number.

509023744681 is the 713459-th square number.

509023744681 is the 356730-th centered octagonal number.

It is an amenable number.

509023744681 is a deficient number, since it is larger than the sum of its proper divisors (2019196142).

509023744681 is an frugal number, since it uses more digits than its factorization.

509023744681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 509023744681 by its sum of digits (49), we get a square (24942163489369 = 4994213²).

The spelling of 509023744681 in words is "five hundred nine billion, twenty-three million, seven hundred forty-four thousand, six hundred eighty-one".