405065125 has 16 divisors (see below), whose sum is σ = 506171952. Its totient is φ = 323635200.

The previous prime is 405065107. The next prime is 405065179. The reversal of 405065125 is 521560504.

It can be written as a sum of positive squares in 8 ways, for example, as 1898884 + 403166241 = 1378^2 + 20079^2 .

It is not a de Polignac number, because 405065125 - 2⁵ = 405065093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405065093 and 405065102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127557 + ... + 130693.

It is an arithmetic number, because the mean of its divisors is an integer number (31635747).

Almost surely, 2^405065125 is an apocalyptic number.

It is an amenable number.

405065125 is a deficient number, since it is larger than the sum of its proper divisors (101106827).

405065125 is a wasteful number, since it uses less digits than its factorization.

405065125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 405065125 is about 20126.2297760907. The cubic root of 405065125 is about 739.9032774728.

The spelling of 405065125 in words is "four hundred five million, sixty-five thousand, one hundred twenty-five".