3098004813225 has 81 divisors (see below), whose sum is σ = 6455194025943. Its totient is φ = 1416146286240.

The previous prime is 3098004813187. The next prime is 3098004813251. The reversal of 3098004813225 is 5223184008903.

The square root of 3098004813225 is 1760115.

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

3098004813225 is a `hidden beast` number, since 30 + 98 + 0 + 0 + 481 + 32 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1115281732761 + 1982723080464 = 1056069^2 + 1408092^2 .

It is not a de Polignac number, because 3098004813225 - 2²⁵ = 3097971258793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184803694 + ... + 184820456.

Almost surely, 2^{3098004813225} is an apocalyptic number.

3098004813225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3098004813225 is the 1760115-th square number.

3098004813225 is the 880058-th centered octagonal number.

It is an amenable number.

3098004813225 is an abundant number, since it is smaller than the sum of its proper divisors (3357189212718).

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

3098004813225 is an frugal number, since it uses more digits than its factorization.

3098004813225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33556 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3098004813225 in words is "three trillion, ninety-eight billion, four million, eight hundred thirteen thousand, two hundred twenty-five".