13500664205625 has 45 divisors (see below), whose sum is σ = 24368896292169. Its totient is φ = 7200207270000.

The previous prime is 13500664205617. The next prime is 13500664205629. The reversal of 13500664205625 is 52650246600531.

The square root of 13500664205625 is 3674325.

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

13500664205625 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 6 + 64 + 20 + 562 + 5 = 666.

13500664205625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1058452073721 + 12442212131904 = 1028811^2 + 3527352^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 13500664205625 - 2³ = 13500664205617 is a prime.

It is a super-2 number, since 2×13500664205625² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13500664205629) 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, 275549880 + ... + 275598870.

Almost surely, 2^{13500664205625} is an apocalyptic number.

13500664205625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13500664205625 is the 3674325-th square number.

13500664205625 is the 1837163-rd centered octagonal number.

It is an amenable number.

13500664205625 is a deficient number, since it is larger than the sum of its proper divisors (10868232086544).

13500664205625 is an frugal number, since it uses more digits than its factorization.

13500664205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98008 (or 48999 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 13500664205625 in words is "thirteen trillion, five hundred billion, six hundred sixty-four million, two hundred five thousand, six hundred twenty-five".