271064968321 has 9 divisors (see below), whose sum is σ = 315324712899. Its totient is φ = 232338277584.

The previous prime is 271064968303. The next prime is 271064968337. The reversal of 271064968321 is 123869460172.

It is a happy number.

The square root of 271064968321 is 520639.

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., 3842140225 + 267222828096 = 61985^2 + 516936^2 .

It is not a de Polignac number, because 271064968321 - 2¹³ = 271064960129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (271064968351) 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, 3607285 + ... + 3681661.

It is an arithmetic number, because the mean of its divisors is an integer number (35036079211).

Almost surely, 2^271064968321 is an apocalyptic number.

271064968321 is the 520639-th square number.

271064968321 is the 260320-th centered octagonal number.

It is an amenable number.

271064968321 is a deficient number, since it is larger than the sum of its proper divisors (44259744578).

271064968321 is an frugal number, since it uses more digits than its factorization.

271064968321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148768 (or 74384 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 271064968321 by its sum of digits (49), we get a square (13282183447729 = 3644473²).

271064968321 divided by its sum of digits (49) gives a square (5531938129 = 74377²).

The spelling of 271064968321 in words is "two hundred seventy-one billion, sixty-four million, nine hundred sixty-eight thousand, three hundred twenty-one".