431205125 has 32 divisors (see below), whose sum is σ = 581817600. Its totient is φ = 317179200.

The previous prime is 431205121. The next prime is 431205149. The reversal of 431205125 is 521502134.

It is not a de Polignac number, because 431205125 - 2² = 431205121 is a prime.

It is a super-3 number, since 3×431205125³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 431205125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431205121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719576 + ... + 720174.

It is an arithmetic number, because the mean of its divisors is an integer number (18181800).

Almost surely, 2^431205125 is an apocalyptic number.

It is an amenable number.

431205125 is a deficient number, since it is larger than the sum of its proper divisors (150612475).

431205125 is a wasteful number, since it uses less digits than its factorization.

431205125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 431205125 is about 20765.4791661546. The cubic root of 431205125 is about 755.4886972470.

Adding to 431205125 its reverse (521502134), we get a palindrome (952707259).

The spelling of 431205125 in words is "four hundred thirty-one million, two hundred five thousand, one hundred twenty-five".