13827056325625 has 45 divisors (see below), whose sum is σ = 17583080193723. Its totient is φ = 10869846120000.

The previous prime is 13827056325623. The next prime is 13827056325721. The reversal of 13827056325625 is 52652365072831.

It is a happy number.

The square root of 13827056325625 is 3718475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12943035155449 + 884021170176 = 3597643^2 + 940224^2 .

It is not a de Polignac number, because 13827056325625 - 2¹ = 13827056325623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13827056325623) 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, 5484749365 + ... + 5484751885.

Almost surely, 2^{13827056325625} is an apocalyptic number.

13827056325625 is the 3718475-th square number.

13827056325625 is the 1859238-th centered octagonal number.

It is an amenable number.

13827056325625 is a deficient number, since it is larger than the sum of its proper divisors (3756023868098).

13827056325625 is an frugal number, since it uses more digits than its factorization.

13827056325625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 13827056325625 in words is "thirteen trillion, eight hundred twenty-seven billion, fifty-six million, three hundred twenty-five thousand, six hundred twenty-five".