271483521237049 has 135 divisors (see below), whose sum is σ = 326051888201067. Its totient is φ = 225876566361600.

The previous prime is 271483521237037. The next prime is 271483521237073. The reversal of 271483521237049 is 940732125384172.

The square root of 271483521237049 is 16476757.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4332080263225 + 267151440973824 = 2081365^2 + 16344768^2 .

It is not a de Polignac number, because 271483521237049 - 2¹¹ = 271483521235001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 271483521236984 and 271483521237002.

It is not an unprimeable number, because it can be changed into a prime (271483521247049) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3718952345677 + ... + 3718952345749.

Almost surely, 2^{271483521237049} is an apocalyptic number.

271483521237049 is the 16476757-th square number.

271483521237049 is the 8238379-th centered octagonal number.

It is an amenable number.

271483521237049 is a deficient number, since it is larger than the sum of its proper divisors (54568366964018).

271483521237049 is an frugal number, since it uses more digits than its factorization.

271483521237049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 271483521237049 in words is "two hundred seventy-one trillion, four hundred eighty-three billion, five hundred twenty-one million, two hundred thirty-seven thousand, forty-nine".