727542467521 has 9 divisors (see below), whose sum is σ = 747769655241. Its totient is φ = 707848450992.

The previous prime is 727542467513. The next prime is 727542467539. The reversal of 727542467521 is 125764245727.

The square root of 727542467521 is 852961.

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 326853467521 + 400689000000 = 571711^2 + 633000^2 .

It is not a de Polignac number, because 727542467521 - 2³ = 727542467513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727542467591) 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, 31548031 + ... + 31571083.

It is an arithmetic number, because the mean of its divisors is an integer number (83085517249).

Almost surely, 2^727542467521 is an apocalyptic number.

727542467521 is the 852961-st square number.

727542467521 is the 426481-st centered octagonal number.

It is an amenable number.

727542467521 is a deficient number, since it is larger than the sum of its proper divisors (20227187720).

727542467521 is an frugal number, since it uses more digits than its factorization.

727542467521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46180 (or 23090 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 52.

The spelling of 727542467521 in words is "seven hundred twenty-seven billion, five hundred forty-two million, four hundred sixty-seven thousand, five hundred twenty-one".