1405624125 has 32 divisors (see below), whose sum is σ = 2371045248. Its totient is φ = 739382400.

The previous prime is 1405624111. The next prime is 1405624151. The reversal of 1405624125 is 5214265041.

It is not a de Polignac number, because 1405624125 - 2⁴ = 1405624109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1405624092 and 1405624101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702 + ... + 53048.

It is an arithmetic number, because the mean of its divisors is an integer number (74095164).

Almost surely, 2^1405624125 is an apocalyptic number.

1405624125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1405624125 is a deficient number, since it is larger than the sum of its proper divisors (965421123).

1405624125 is an equidigital number, since it uses as much as digits as its factorization.

1405624125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51438 (or 51428 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1405624125 is about 37491.6540712730. The cubic root of 1405624125 is about 1120.1849516523.

Adding to 1405624125 its reverse (5214265041), we get a palindrome (6619889166).

It can be divided in two parts, 140 and 5624125, that added together give a palindrome (5624265).

The spelling of 1405624125 in words is "one billion, four hundred five million, six hundred twenty-four thousand, one hundred twenty-five".