33038515225 has 9 divisors (see below), whose sum is σ = 40968885853. Its totient is φ = 26430085120.

The previous prime is 33038515219. The next prime is 33038515229. The reversal of 33038515225 is 52251583033.

The square root of 33038515225 is 181765.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4177941769 + 28860573456 = 64637^2 + 169884^2 .

It is not a de Polignac number, because 33038515225 - 2¹¹ = 33038513177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33038515229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 890649 + ... + 927001.

Almost surely, 2^33038515225 is an apocalyptic number.

33038515225 is the 181765-th square number.

33038515225 is the 90883-rd centered octagonal number.

It is an amenable number.

33038515225 is a deficient number, since it is larger than the sum of its proper divisors (7930370628).

33038515225 is an frugal number, since it uses more digits than its factorization.

33038515225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72716 (or 36358 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 33038515225 in words is "thirty-three billion, thirty-eight million, five hundred fifteen thousand, two hundred twenty-five".