193381125 has 64 divisors (see below), whose sum is σ = 383864832. Its totient is φ = 84532800.

The previous prime is 193381121. The next prime is 193381127. The reversal of 193381125 is 521183391.

It is not a de Polignac number, because 193381125 - 2² = 193381121 is a prime.

It is a super-3 number, since 3×193381125³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193381121) 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, 58774 + ... + 61976.

It is an arithmetic number, because the mean of its divisors is an integer number (5997888).

Almost surely, 2^193381125 is an apocalyptic number.

193381125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193381125 is a deficient number, since it is larger than the sum of its proper divisors (190483707).

193381125 is a wasteful number, since it uses less digits than its factorization.

193381125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3241 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 193381125 is about 13906.1542131533. The cubic root of 193381125 is about 578.2798070942.

The spelling of 193381125 in words is "one hundred ninety-three million, three hundred eighty-one thousand, one hundred twenty-five".