381991983025 has 27 divisors (see below), whose sum is σ = 480711543969. Its totient is φ = 301116396000.

The previous prime is 381991983011. The next prime is 381991983029. The reversal of 381991983025 is 520389199183.

The square root of 381991983025 is 618055.

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 231931817649 + 150060165376 = 481593^2 + 387376^2 .

It is a de Polignac number, because none of the positive numbers 2^k-381991983025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381991983029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219408655 + ... + 219410395.

Almost surely, 2^381991983025 is an apocalyptic number.

381991983025 is the 618055-th square number.

381991983025 is the 309028-th centered octagonal number.

It is an amenable number.

381991983025 is a deficient number, since it is larger than the sum of its proper divisors (98719560944).

381991983025 is an frugal number, since it uses more digits than its factorization.

381991983025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 381991983025 in words is "three hundred eighty-one billion, nine hundred ninety-one million, nine hundred eighty-three thousand, twenty-five".