33027610225 has 27 divisors (see below), whose sum is σ = 43245775713. Its totient is φ = 25018367040.

The previous prime is 33027610201. The next prime is 33027610249. The reversal of 33027610225 is 52201672033.

The square root of 33027610225 is 181735.

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

It is an interprime number because it is at equal distance from previous prime (33027610201) and next prime (33027610249).

It can be written as a sum of positive squares in 4 ways, for example, as 2445994849 + 30581615376 = 49457^2 + 174876^2 .

It is not a de Polignac number, because 33027610225 - 2²⁵ = 32994055793 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, 17263869 + ... + 17265781.

Almost surely, 2^33027610225 is an apocalyptic number.

33027610225 is the 181735-th square number.

33027610225 is the 90868-th centered octagonal number.

It is an amenable number.

33027610225 is a deficient number, since it is larger than the sum of its proper divisors (10218165488).

33027610225 is an frugal number, since it uses more digits than its factorization.

33027610225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 33027610225 in words is "thirty-three billion, twenty-seven million, six hundred ten thousand, two hundred twenty-five".