320579463801289 has 45 divisors (see below), whose sum is σ = 410227724021085. Its totient is φ = 249790362461640.

The previous prime is 320579463801287. The next prime is 320579463801329. The reversal of 320579463801289 is 982108364975023.

The square root of 320579463801289 is 17904733.

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

It is not a de Polignac number, because 320579463801289 - 2¹ = 320579463801287 is a prime.

It is a super-2 number, since 2×320579463801289² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320579463801287) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15165298282 + ... + 15165319420.

It is an arithmetic number, because the mean of its divisors is an integer number (9116171644913).

It is a 1-persistent number, because it is pandigital, but 2⋅320579463801289 = 641158927602578 is not.

Almost surely, 2^{320579463801289} is an apocalyptic number.

320579463801289 is the 17904733-rd square number.

320579463801289 is the 8952367-th centered octagonal number.

It is an amenable number.

320579463801289 is a deficient number, since it is larger than the sum of its proper divisors (89648260219796).

320579463801289 is an frugal number, since it uses more digits than its factorization.

320579463801289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42336 (or 21157 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 320579463801289 in words is "three hundred twenty trillion, five hundred seventy-nine billion, four hundred sixty-three million, eight hundred one thousand, two hundred eighty-nine".