3006877225 has 27 divisors (see below), whose sum is σ = 4102413861. Its totient is φ = 2184626400.

The previous prime is 3006877219. The next prime is 3006877231. The reversal of 3006877225 is 5227786003.

The square root of 3006877225 is 54835.

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

3006877225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3006877219) and next prime (3006877231).

It can be written as a sum of positive squares in 4 ways, for example, as 200420649 + 2806456576 = 14157^2 + 52976^2 .

It is not a de Polignac number, because 3006877225 - 2¹¹ = 3006875177 is a prime.

It is a super-3 number, since 3×3006877225³ (a number of 29 digits) contains 333 as substring.

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, 3015427 + ... + 3016423.

Almost surely, 2^3006877225 is an apocalyptic number.

3006877225 is the 54835-th square number.

3006877225 is the 27418-th centered octagonal number.

It is an amenable number.

3006877225 is a deficient number, since it is larger than the sum of its proper divisors (1095536636).

3006877225 is an frugal number, since it uses more digits than its factorization.

3006877225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The cubic root of 3006877225 is about 1443.3508042209.

The spelling of 3006877225 in words is "three billion, six million, eight hundred seventy-seven thousand, two hundred twenty-five".