318013661329 has 27 divisors (see below), whose sum is σ = 400644352017. Its totient is φ = 251574601824.

The previous prime is 318013661323. The next prime is 318013661341. The reversal of 318013661329 is 923166310813.

The square root of 318013661329 is 563927.

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

It can be written as a sum of positive squares in 4 ways, for example, as 72671758929 + 245341902400 = 269577^2 + 495320^2 .

It is not a de Polignac number, because 318013661329 - 2⁵ = 318013661297 is a prime.

It is a super-2 number, since 2×318013661329² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (318013661323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51314259 + ... + 51320455.

Almost surely, 2^318013661329 is an apocalyptic number.

318013661329 is the 563927-th square number.

318013661329 is the 281964-th centered octagonal number.

It is an amenable number.

318013661329 is a deficient number, since it is larger than the sum of its proper divisors (82630690688).

318013661329 is an frugal number, since it uses more digits than its factorization.

318013661329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 318013661329 in words is "three hundred eighteen billion, thirteen million, six hundred sixty-one thousand, three hundred twenty-nine".