381856023025 has 27 divisors (see below), whose sum is σ = 480360376899. Its totient is φ = 301122126720.

The previous prime is 381856022981. The next prime is 381856023041. The reversal of 381856023025 is 520320658183.

The square root of 381856023025 is 617945.

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

It can be written as a sum of positive squares in 13 ways, for example, as 263233641969 + 118622381056 = 513063^2 + 344416^2 .

It is not a de Polignac number, because 381856023025 - 2¹³ = 381856014833 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225549079 + ... + 225550771.

Almost surely, 2^381856023025 is an apocalyptic number.

381856023025 is the 617945-th square number.

381856023025 is the 308973-rd centered octagonal number.

It is an amenable number.

381856023025 is a deficient number, since it is larger than the sum of its proper divisors (98504353874).

381856023025 is an frugal number, since it uses more digits than its factorization.

381856023025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 381856023025 in words is "three hundred eighty-one billion, eight hundred fifty-six million, twenty-three thousand, twenty-five".