3090616740225 has 135 divisors (see below), whose sum is σ = 6660760045401. Its totient is φ = 1412600212800.

The previous prime is 3090616740203. The next prime is 3090616740241. The reversal of 3090616740225 is 5220476160903.

The square root of 3090616740225 is 1758015.

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

3090616740225 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 616 + 7 + 4 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327734495361 + 2762882244864 = 572481^2 + 1662192^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3090616740225 - 2⁵ = 3090616740193 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 134 ways as a sum of consecutive naturals, for example, 553771935 + ... + 553777515.

Almost surely, 2^{3090616740225} is an apocalyptic number.

3090616740225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3090616740225 is the 1758015-th square number.

3090616740225 is the 879008-th centered octagonal number.

It is an amenable number.

3090616740225 is an abundant number, since it is smaller than the sum of its proper divisors (3570143305176).

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

3090616740225 is an frugal number, since it uses more digits than its factorization.

3090616740225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3090616740225 in words is "three trillion, ninety billion, six hundred sixteen million, seven hundred forty thousand, two hundred twenty-five".