825198381 has 64 divisors (see below), whose sum is σ = 1425715200. Its totient is φ = 462024000.

The previous prime is 825198379. The next prime is 825198391. The reversal of 825198381 is 183891528.

It is a happy number.

825198381 is a `hidden beast` number, since 82 + 5 + 198 + 381 = 666.

It is not a de Polignac number, because 825198381 - 2¹ = 825198379 is a prime.

It is a super-2 number, since 2×825198381² = 1361904736010042322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825198391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2653216 + ... + 2653526.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^825198381 is an apocalyptic number.

It is an amenable number.

825198381 is a deficient number, since it is larger than the sum of its proper divisors (600516819).

825198381 is a wasteful number, since it uses less digits than its factorization.

825198381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 825198381 is about 28726.2663950608. The cubic root of 825198381 is about 937.9638971349.

The spelling of 825198381 in words is "eight hundred twenty-five million, one hundred ninety-eight thousand, three hundred eighty-one".