381533125 has 40 divisors (see below), whose sum is σ = 510305400. Its totient is φ = 284160000.

The previous prime is 381533123. The next prime is 381533143. The reversal of 381533125 is 521335183.

It can be written as a sum of positive squares in 20 ways, for example, as 370524001 + 11009124 = 19249^2 + 3318^2 .

It is not a de Polignac number, because 381533125 - 2¹ = 381533123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381533123) 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 39 ways as a sum of consecutive naturals, for example, 1583005 + ... + 1583245.

It is an arithmetic number, because the mean of its divisors is an integer number (12757635).

Almost surely, 2^381533125 is an apocalyptic number.

It is an amenable number.

381533125 is a deficient number, since it is larger than the sum of its proper divisors (128772275).

381533125 is a wasteful number, since it uses less digits than its factorization.

381533125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 381533125 is about 19532.8729325719. The cubic root of 381533125 is about 725.2884306194.

The spelling of 381533125 in words is "three hundred eighty-one million, five hundred thirty-three thousand, one hundred twenty-five".