271865259649 has 9 divisors (see below), whose sum is σ = 288807460291. Its totient is φ = 255864843040.

The previous prime is 271865259643. The next prime is 271865259667. The reversal of 271865259649 is 946952568172.

The square root of 271865259649 is 521407.

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., 211659804225 + 60205455424 = 460065^2 + 245368^2 .

It is not a de Polignac number, because 271865259649 - 2²¹ = 271863162497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271865259643) 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, 8848584 + ... + 8879254.

Almost surely, 2^271865259649 is an apocalyptic number.

271865259649 is the 521407-th square number.

271865259649 is the 260704-th centered octagonal number.

It is an amenable number.

271865259649 is a deficient number, since it is larger than the sum of its proper divisors (16942200642).

271865259649 is an frugal number, since it uses more digits than its factorization.

271865259649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61376 (or 30688 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

Multiplying 271865259649 by its sum of digits (64), we get a square (17399376617536 = 4171256²).

The spelling of 271865259649 in words is "two hundred seventy-one billion, eight hundred sixty-five million, two hundred fifty-nine thousand, six hundred forty-nine".