405536125 has 32 divisors (see below), whose sum is σ = 528589152. Its totient is φ = 310336000.

The previous prime is 405536119. The next prime is 405536129. The reversal of 405536125 is 521635504.

It can be written as a sum of positive squares in 16 ways, for example, as 270372249 + 135163876 = 16443^2 + 11626^2 .

It is not a de Polignac number, because 405536125 - 2⁷ = 405535997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405536129) 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 31 ways as a sum of consecutive naturals, for example, 270879 + ... + 272371.

It is an arithmetic number, because the mean of its divisors is an integer number (16518411).

Almost surely, 2^405536125 is an apocalyptic number.

It is an amenable number.

405536125 is a deficient number, since it is larger than the sum of its proper divisors (123053027).

405536125 is a wasteful number, since it uses less digits than its factorization.

405536125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 405536125 is about 20137.9275249466. The cubic root of 405536125 is about 740.1899469783.

The spelling of 405536125 in words is "four hundred five million, five hundred thirty-six thousand, one hundred twenty-five".