3001227084025 has 27 divisors (see below), whose sum is σ = 3736717202631. Its totient is φ = 2391217832640.

The previous prime is 3001227083983. The next prime is 3001227084131. The reversal of 3001227084025 is 5204807221003.

It is a happy number.

The square root of 3001227084025 is 1732405.

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

3001227084025 is digitally balanced in base 3, 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 13 ways, for example, as 1572924830569 + 1428302253456 = 1254163^2 + 1195116^2 .

It is not a de Polignac number, because 3001227084025 - 2¹⁷ = 3001226952953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2745861379 + ... + 2745862471.

Almost surely, 2^{3001227084025} is an apocalyptic number.

3001227084025 is the 1732405-th square number.

3001227084025 is the 866203-rd centered octagonal number.

It is an amenable number.

3001227084025 is a deficient number, since it is larger than the sum of its proper divisors (735490118606).

3001227084025 is an frugal number, since it uses more digits than its factorization.

3001227084025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 3001227084025 in words is "three trillion, one billion, two hundred twenty-seven million, eighty-four thousand, twenty-five".