13650417225 has 27 divisors (see below), whose sum is σ = 24452553333. Its totient is φ = 7279287840.

The previous prime is 13650417199. The next prime is 13650417227. The reversal of 13650417225 is 52271405631.

The square root of 13650417225 is 116835.

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

13650417225 is a `hidden beast` number, since 13 + 6 + 5 + 0 + 417 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 13616089344 = 5859^2 + 116688^2 .

It is not a de Polignac number, because 13650417225 - 2¹⁵ = 13650384457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13650417225.

It is not an unprimeable number, because it can be changed into a prime (13650417227) 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, 1748631 + ... + 1756419.

Almost surely, 2^13650417225 is an apocalyptic number.

13650417225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13650417225 is the 116835-th square number.

13650417225 is the 58418-th centered octagonal number.

It is an amenable number.

13650417225 is a deficient number, since it is larger than the sum of its proper divisors (10802136108).

13650417225 is an frugal number, since it uses more digits than its factorization.

13650417225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15594 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 13650417225 by its sum of digits (36), we get a square (491415020100 = 701010²).

The spelling of 13650417225 in words is "thirteen billion, six hundred fifty million, four hundred seventeen thousand, two hundred twenty-five".