381411232225 has 9 divisors (see below), whose sum is σ = 472953757017. Its totient is φ = 305126515440.

The previous prime is 381411232177. The next prime is 381411232243. The reversal of 381411232225 is 522232114183.

The square root of 381411232225 is 617585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 236694899169 + 144716333056 = 486513^2 + 380416^2 .

It is not a de Polignac number, because 381411232225 - 2¹⁷ = 381411101153 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, 3026167 + ... + 3149683.

Almost surely, 2^381411232225 is an apocalyptic number.

381411232225 is the 617585-th square number.

381411232225 is the 308793-rd centered octagonal number.

It is an amenable number.

381411232225 is a deficient number, since it is larger than the sum of its proper divisors (91542524792).

381411232225 is an frugal number, since it uses more digits than its factorization.

381411232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247044 (or 123522 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The spelling of 381411232225 in words is "three hundred eighty-one billion, four hundred eleven million, two hundred thirty-two thousand, two hundred twenty-five".