193718818225 has 81 divisors (see below), whose sum is σ = 262173597699. Its totient is φ = 141969945600.

The previous prime is 193718818213. The next prime is 193718818229. The reversal of 193718818225 is 522818817391.

It is a happy number.

The square root of 193718818225 is 440135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 136806036129 + 56912782096 = 369873^2 + 238564^2 .

It is not a de Polignac number, because 193718818225 - 2⁹ = 193718817713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193718818229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1714325769 + ... + 1714325881.

Almost surely, 2^193718818225 is an apocalyptic number.

193718818225 is the 440135-th square number.

193718818225 is the 220068-th centered octagonal number.

It is an amenable number.

193718818225 is a deficient number, since it is larger than the sum of its proper divisors (68454779474).

193718818225 is an equidigital number, since it uses as much as digits as its factorization.

193718818225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 55.

The spelling of 193718818225 in words is "one hundred ninety-three billion, seven hundred eighteen million, eight hundred eighteen thousand, two hundred twenty-five".