12682072051753 has 8 divisors (see below), whose sum is σ = 13666788417800. Its totient is φ = 11698666023168.

The previous prime is 12682072051741. The next prime is 12682072051793. The reversal of 12682072051753 is 35715027028621.

It can be written as a sum of positive squares in 4 ways, for example, as 1048733701929 + 11633338349824 = 1024077^2 + 3410768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12682072051753 - 2⁵ = 12682072051721 is a prime.

It is a super-2 number, since 2×12682072051753² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12682072051697 and 12682072051706.

It is not an unprimeable number, because it can be changed into a prime (12682072051793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327564258 + ... + 327602971.

It is an arithmetic number, because the mean of its divisors is an integer number (1708348552225).

Almost surely, 2^{12682072051753} is an apocalyptic number.

12682072051753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12682072051753 is a deficient number, since it is larger than the sum of its proper divisors (984716366047).

12682072051753 is a wasteful number, since it uses less digits than its factorization.

12682072051753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655168731.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 12682072051753 in words is "twelve trillion, six hundred eighty-two billion, seventy-two million, fifty-one thousand, seven hundred fifty-three".