381200825 has 12 divisors (see below), whose sum is σ = 485465580. Its totient is φ = 296717760.

The previous prime is 381200803. The next prime is 381200839. The reversal of 381200825 is 528002183.

It can be written as a sum of positive squares in 6 ways, for example, as 2042041 + 379158784 = 1429^2 + 19472^2 .

It is not a de Polignac number, because 381200825 - 2⁶ = 381200761 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205130 + ... + 206979.

It is an arithmetic number, because the mean of its divisors is an integer number (40455465).

Almost surely, 2^381200825 is an apocalyptic number.

It is an amenable number.

381200825 is a deficient number, since it is larger than the sum of its proper divisors (104264755).

381200825 is a wasteful number, since it uses less digits than its factorization.

381200825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412156 (or 412151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 381200825 is about 19524.3649064445. The cubic root of 381200825 is about 725.0778037786.

The spelling of 381200825 in words is "three hundred eighty-one million, two hundred thousand, eight hundred twenty-five".