330010036225 has 27 divisors (see below), whose sum is σ = 431954927427. Its totient is φ = 250071508080.

The previous prime is 330010036163. The next prime is 330010036277. The reversal of 330010036225 is 522630010033.

It is a happy number.

The square root of 330010036225 is 574465.

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

It can be written as a sum of positive squares in only one way, i.e., 118803613041 + 211206423184 = 344679^2 + 459572^2 .

It is not a de Polignac number, because 330010036225 - 2¹⁵ = 330010003457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330010036225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54571152 + ... + 54577198.

Almost surely, 2^330010036225 is an apocalyptic number.

330010036225 is the 574465-th square number.

330010036225 is the 287233-rd centered octagonal number.

It is an amenable number.

330010036225 is a deficient number, since it is larger than the sum of its proper divisors (101944891202).

330010036225 is an frugal number, since it uses more digits than its factorization.

330010036225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Multiplying 330010036225 by its sum of digits (25), we get a square (8250250905625 = 2872325²).

330010036225 divided by its sum of digits (25) gives a square (13200401449 = 114893²).

Adding to 330010036225 its reverse (522630010033), we get a palindrome (852640046258).

The spelling of 330010036225 in words is "three hundred thirty billion, ten million, thirty-six thousand, two hundred twenty-five".