33512794225 has 81 divisors (see below), whose sum is σ = 45930746721. Its totient is φ = 24252451200.

The previous prime is 33512794219. The next prime is 33512794241. The reversal of 33512794225 is 52249721533.

The square root of 33512794225 is 183065.

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 14106075361 + 19406718864 = 118769^2 + 139308^2 .

It is not a de Polignac number, because 33512794225 - 2¹⁹ = 33512269937 is a prime.

It is a super-2 number, since 2×33512794225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (453600) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 713038152 + ... + 713038198.

Almost surely, 2^33512794225 is an apocalyptic number.

33512794225 is the 183065-th square number.

33512794225 is the 91533-rd centered octagonal number.

It is an amenable number.

33512794225 is a deficient number, since it is larger than the sum of its proper divisors (12417952496).

33512794225 is an equidigital number, since it uses as much as digits as its factorization.

33512794225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The spelling of 33512794225 in words is "thirty-three billion, five hundred twelve million, seven hundred ninety-four thousand, two hundred twenty-five".