415531125 has 24 divisors (see below), whose sum is σ = 749066136. Its totient is φ = 221616000.

The previous prime is 415531097. The next prime is 415531141. The reversal of 415531125 is 521135514.

415531125 is a `hidden beast` number, since 4 + 1 + 5 + 531 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121682961 + 293848164 = 11031^2 + 17142^2 .

It is not a de Polignac number, because 415531125 - 2¹⁵ = 415498357 is a prime.

It is a super-2 number, since 2×415531125² = 345332231687531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183556 + ... + 185805.

It is an arithmetic number, because the mean of its divisors is an integer number (31211089).

Almost surely, 2^415531125 is an apocalyptic number.

415531125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415531125 is a deficient number, since it is larger than the sum of its proper divisors (333535011).

415531125 is a wasteful number, since it uses less digits than its factorization.

415531125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369382 (or 369369 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 415531125 is about 20384.5805696365. The cubic root of 415531125 is about 746.2216642019.

Adding to 415531125 its reverse (521135514), we get a palindrome (936666639).

The spelling of 415531125 in words is "four hundred fifteen million, five hundred thirty-one thousand, one hundred twenty-five".