67353225625 has 45 divisors (see below), whose sum is σ = 97971811641. Its totient is φ = 46153926000.

The previous prime is 67353225623. The next prime is 67353225637. The reversal of 67353225625 is 52652235376.

It is a happy number.

The square root of 67353225625 is 259525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5280492889 + 62072732736 = 72667^2 + 249144^2 .

It is not a de Polignac number, because 67353225625 - 2¹ = 67353225623 is a prime.

It is a Duffinian number.

Its product of digits (2268000) is a multiple of the sum of its prime factors (3000).

It is not an unprimeable number, because it can be changed into a prime (67353225623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45416134 + ... + 45417616.

Almost surely, 2^67353225625 is an apocalyptic number.

67353225625 is the 259525-th square number.

67353225625 is the 129763-rd centered octagonal number.

It is an amenable number.

67353225625 is a deficient number, since it is larger than the sum of its proper divisors (30618586016).

67353225625 is an frugal number, since it uses more digits than its factorization.

67353225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1495 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 46.

The spelling of 67353225625 in words is "sixty-seven billion, three hundred fifty-three million, two hundred twenty-five thousand, six hundred twenty-five".