318320511601 has 9 divisors (see below), whose sum is σ = 319302412299. Its totient is φ = 317341626336.

The previous prime is 318320511583. The next prime is 318320511653. The reversal of 318320511601 is 106115023813.

The square root of 318320511601 is 564199.

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., 35696434225 + 282624077376 = 188935^2 + 531624^2 .

It is not a de Polignac number, because 318320511601 - 2¹⁷ = 318320380529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (318320511401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244297516 + ... + 244298818.

It is an arithmetic number, because the mean of its divisors is an integer number (35478045811).

Almost surely, 2^318320511601 is an apocalyptic number.

318320511601 is the 564199-th square number.

318320511601 is the 282100-th centered octagonal number.

It is an amenable number.

318320511601 is a deficient number, since it is larger than the sum of its proper divisors (981900698).

318320511601 is an frugal number, since it uses more digits than its factorization.

318320511601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

It can be divided in two parts, 318320 and 511601, that added together give a square (829921 = 911²).

The spelling of 318320511601 in words is "three hundred eighteen billion, three hundred twenty million, five hundred eleven thousand, six hundred one".