13605659302225 has 9 divisors (see below), whose sum is σ = 16871040404017. Its totient is φ = 10884512687440.

The previous prime is 13605659302219. The next prime is 13605659302231. The reversal of 13605659302225 is 52220395650631.

The square root of 13605659302225 is 3688585.

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

It is an interprime number because it is at equal distance from previous prime (13605659302219) and next prime (13605659302231).

It can be written as a sum of positive squares in 4 ways, for example, as 5309047314769 + 8296611987456 = 2304137^2 + 2880384^2 .

It is not a de Polignac number, because 13605659302225 - 2¹⁵ = 13605659269457 is a prime.

It is a super-2 number, since 2×13605659302225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18074067 + ... + 18811783.

Almost surely, 2^{13605659302225} is an apocalyptic number.

13605659302225 is the 3688585-th square number.

13605659302225 is the 1844293-rd centered octagonal number.

It is an amenable number.

13605659302225 is a deficient number, since it is larger than the sum of its proper divisors (3265381101792).

13605659302225 is an frugal number, since it uses more digits than its factorization.

13605659302225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475444 (or 737722 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

Multiplying 13605659302225 by its sum of digits (49), we get a square (666677305809025 = 25820095²).

The spelling of 13605659302225 in words is "thirteen trillion, six hundred five billion, six hundred fifty-nine million, three hundred two thousand, two hundred twenty-five".