12731052163600 has 45 divisors (see below), whose sum is σ = 30586524269293. Its totient is φ = 5092392320960.

The previous prime is 12731052163573. The next prime is 12731052163649. The reversal of 12731052163600 is 636125013721.

The square root of 12731052163600 is 3568060.

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., 4583178778896 + 8147873384704 = 2140836^2 + 2854448^2 .

It is a super-3 number, since 3×12731052163600³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12731052163600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71271999 + ... + 71450401.

Almost surely, 2^{12731052163600} is an apocalyptic number.

12731052163600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12731052163600 is the 3568060-th square number.

It is an amenable number.

12731052163600 is an abundant number, since it is smaller than the sum of its proper divisors (17855472105693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12731052163600 is an frugal number, since it uses more digits than its factorization.

12731052163600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356824 (or 178410 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 12731052163600 in words is "twelve trillion, seven hundred thirty-one billion, fifty-two million, one hundred sixty-three thousand, six hundred".