67225052025 has 72 divisors (see below), whose sum is σ = 127553900760. Its totient is φ = 33727518720.

The previous prime is 67225052023. The next prime is 67225052033. The reversal of 67225052025 is 52025052276.

It is a happy number.

67225052025 is a `hidden beast` number, since 67 + 2 + 2 + 50 + 520 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10747054224 + 56477997801 = 103668^2 + 237651^2 .

It is not a de Polignac number, because 67225052025 - 2¹ = 67225052023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67225052023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11889099 + ... + 11894751.

It is an arithmetic number, because the mean of its divisors is an integer number (1771581955).

Almost surely, 2^67225052025 is an apocalyptic number.

It is an amenable number.

67225052025 is a deficient number, since it is larger than the sum of its proper divisors (60328848735).

67225052025 is a wasteful number, since it uses less digits than its factorization.

67225052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 67225052025 in words is "sixty-seven billion, two hundred twenty-five million, fifty-two thousand, twenty-five".