438131467225 has 9 divisors (see below), whose sum is σ = 543287123263. Its totient is φ = 350502526120.

The previous prime is 438131467201. The next prime is 438131467289. The reversal of 438131467225 is 522764131834.

The square root of 438131467225 is 661915.

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., 157727328201 + 280404139024 = 397149^2 + 529532^2 .

It is not a de Polignac number, because 438131467225 - 2²⁵ = 438097912793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3243384 + ... + 3375766.

Almost surely, 2^438131467225 is an apocalyptic number.

438131467225 is the 661915-th square number.

438131467225 is the 330958-th centered octagonal number.

It is an amenable number.

438131467225 is a deficient number, since it is larger than the sum of its proper divisors (105155656038).

438131467225 is an frugal number, since it uses more digits than its factorization.

438131467225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264776 (or 132388 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 438131467225 in words is "four hundred thirty-eight billion, one hundred thirty-one million, four hundred sixty-seven thousand, two hundred twenty-five".