361098837225 has 243 divisors, whose sum is σ = 773302336677. Its totient is φ = 160602946560.

The previous prime is 361098837193. The next prime is 361098837251. The reversal of 361098837225 is 522738890163.

The square root of 361098837225 is 600915.

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

361098837225 is digitally balanced in base 4, 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 4 ways, for example, as 13277261529 + 347821575696 = 115227^2 + 589764^2 .

It is not a de Polignac number, because 361098837225 - 2⁵ = 361098837193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3722668377 + ... + 3722668473.

Almost surely, 2^361098837225 is an apocalyptic number.

361098837225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

361098837225 is the 600915-th square number.

361098837225 is the 300458-th centered octagonal number.

It is an amenable number.

361098837225 is an abundant number, since it is smaller than the sum of its proper divisors (412203499452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361098837225 is an equidigital number, since it uses as much as digits as its factorization.

361098837225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 361098837225 in words is "three hundred sixty-one billion, ninety-eight million, eight hundred thirty-seven thousand, two hundred twenty-five".