17965381225 has 27 divisors (see below), whose sum is σ = 24496421061. Its totient is φ = 13060370400.

The previous prime is 17965381223. The next prime is 17965381229. The reversal of 17965381225 is 52218356971.

The square root of 17965381225 is 134035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2722021929 + 15243359296 = 52173^2 + 123464^2 .

It is not a de Polignac number, because 17965381225 - 2¹ = 17965381223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17965381223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7370707 + ... + 7373143.

Almost surely, 2^17965381225 is an apocalyptic number.

17965381225 is the 134035-th square number.

17965381225 is the 67018-th centered octagonal number.

It is an amenable number.

17965381225 is a deficient number, since it is larger than the sum of its proper divisors (6531039836).

17965381225 is an frugal number, since it uses more digits than its factorization.

17965381225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 2453 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

Multiplying 17965381225 by its sum of digits (49), we get a square (880303680025 = 938245²).

The spelling of 17965381225 in words is "seventeen billion, nine hundred sixty-five million, three hundred eighty-one thousand, two hundred twenty-five".