33118540225 has 27 divisors (see below), whose sum is σ = 43645180891. Its totient is φ = 24924665600.

The previous prime is 33118540211. The next prime is 33118540253. The reversal of 33118540225 is 52204581133.

The square root of 33118540225 is 181985.

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

It can be written as a sum of positive squares in 13 ways, for example, as 131262849 + 32987277376 = 11457^2 + 181624^2 .

It is not a de Polignac number, because 33118540225 - 2¹⁹ = 33118015937 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, 15467655 + ... + 15469795.

Almost surely, 2^33118540225 is an apocalyptic number.

33118540225 is the 181985-th square number.

33118540225 is the 90993-rd centered octagonal number.

It is an amenable number.

33118540225 is a deficient number, since it is larger than the sum of its proper divisors (10526640666).

33118540225 is an frugal number, since it uses more digits than its factorization.

33118540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 33118540225 in words is "thirty-three billion, one hundred eighteen million, five hundred forty thousand, two hundred twenty-five".