517710469441 has 27 divisors (see below), whose sum is σ = 574206420963. Its totient is φ = 466422293040.

The previous prime is 517710469433. The next prime is 517710469457. The reversal of 517710469441 is 144964017715.

It is a happy number.

The square root of 517710469441 is 719521.

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., 60653345841 + 457057123600 = 246279^2 + 676060^2 .

It is not a de Polignac number, because 517710469441 - 2³ = 517710469433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517710469141) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1179294700 + ... + 1179295138.

Almost surely, 2^517710469441 is an apocalyptic number.

517710469441 is the 719521-st square number.

517710469441 is the 359761-st centered octagonal number.

It is an amenable number.

517710469441 is a deficient number, since it is larger than the sum of its proper divisors (56495951522).

517710469441 is an frugal number, since it uses more digits than its factorization.

517710469441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 517710469441 by its sum of digits (49), we get a square (25367813002609 = 5036647²).

The spelling of 517710469441 in words is "five hundred seventeen billion, seven hundred ten million, four hundred sixty-nine thousand, four hundred forty-one".