33266536321225 has 27 divisors (see below), whose sum is σ = 41334173484597. Its totient is φ = 26559358598880.

The previous prime is 33266536321201. The next prime is 33266536321259. The reversal of 33266536321225 is 52212363566233.

The square root of 33266536321225 is 5767715.

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 9187573272201 + 24078963049024 = 3031101^2 + 4907032^2 .

It is not a de Polignac number, because 33266536321225 - 2¹³ = 33266536313033 is a prime.

It is a super-2 number, since 2×33266536321225² (a number of 28 digits) contains 22 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, 20446548862 + ... + 20446550488.

Almost surely, 2^{33266536321225} is an apocalyptic number.

33266536321225 is the 5767715-th square number.

33266536321225 is the 2883858-th centered octagonal number.

It is an amenable number.

33266536321225 is a deficient number, since it is larger than the sum of its proper divisors (8067637163372).

33266536321225 is an frugal number, since it uses more digits than its factorization.

33266536321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 2341 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 49.

Adding to 33266536321225 its reverse (52212363566233), we get a palindrome (85478899887458).

The spelling of 33266536321225 in words is "thirty-three trillion, two hundred sixty-six billion, five hundred thirty-six million, three hundred twenty-one thousand, two hundred twenty-five".