33089429025 has 81 divisors (see below), whose sum is σ = 60498864153. Its totient is φ = 17288251200.

The previous prime is 33089429003. The next prime is 33089429029. The reversal of 33089429025 is 52092498033.

It is a happy number.

The square root of 33089429025 is 181905.

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

33089429025 is a `hidden beast` number, since 330 + 8 + 9 + 4 + 290 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17759027169 + 15330401856 = 133263^2 + 123816^2 .

It is not a de Polignac number, because 33089429025 - 2¹⁷ = 33089297953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (33089429029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 182814435 + ... + 182814615.

Almost surely, 2^33089429025 is an apocalyptic number.

33089429025 is the 181905-th square number.

33089429025 is the 90953-rd centered octagonal number.

It is an amenable number.

33089429025 is a deficient number, since it is larger than the sum of its proper divisors (27409435128).

33089429025 is an equidigital number, since it uses as much as digits as its factorization.

33089429025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 33089429025 in words is "thirty-three billion, eighty-nine million, four hundred twenty-nine thousand, twenty-five".