381781873225 has 27 divisors (see below), whose sum is σ = 476637770791. Its totient is φ = 303356819600.

The previous prime is 381781873169. The next prime is 381781873229. The reversal of 381781873225 is 522378187183.

The square root of 381781873225 is 617885.

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., 137441474361 + 244340398864 = 370731^2 + 494308^2 .

It is not a de Polignac number, because 381781873225 - 2¹³ = 381781865033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381781873229) 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 26 ways as a sum of consecutive naturals, for example, 590079852 + ... + 590080498.

Almost surely, 2^381781873225 is an apocalyptic number.

381781873225 is the 617885-th square number.

381781873225 is the 308943-rd centered octagonal number.

It is an amenable number.

381781873225 is a deficient number, since it is larger than the sum of its proper divisors (94855897566).

381781873225 is an frugal number, since it uses more digits than its factorization.

381781873225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The spelling of 381781873225 in words is "three hundred eighty-one billion, seven hundred eighty-one million, eight hundred seventy-three thousand, two hundred twenty-five".