321297382561 has 9 divisors (see below), whose sum is σ = 341319220851. Its totient is φ = 302388467232.

The previous prime is 321297382543. The next prime is 321297382573. The reversal of 321297382561 is 165283792123.

The square root of 321297382561 is 566831.

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., 250145021025 + 71152361536 = 500145^2 + 266744^2 .

It is not a de Polignac number, because 321297382561 - 2²³ = 321288993953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321297382531) 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, 9619456 + ... + 9652798.

Almost surely, 2^321297382561 is an apocalyptic number.

321297382561 is the 566831-st square number.

321297382561 is the 283416-th centered octagonal number.

It is an amenable number.

321297382561 is a deficient number, since it is larger than the sum of its proper divisors (20021838290).

321297382561 is an frugal number, since it uses more digits than its factorization.

321297382561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66720 (or 33360 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 321297382561 by its sum of digits (49), we get a square (15743571745489 = 3967817²).

The spelling of 321297382561 in words is "three hundred twenty-one billion, two hundred ninety-seven million, three hundred eighty-two thousand, five hundred sixty-one".