415202125 has 32 divisors (see below), whose sum is σ = 561296736. Its totient is φ = 304819200.

The previous prime is 415202111. The next prime is 415202131. The reversal of 415202125 is 521202514.

It can be written as a sum of positive squares in 16 ways, for example, as 97970404 + 317231721 = 9898^2 + 17811^2 .

It is not a de Polignac number, because 415202125 - 2¹¹ = 415200077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415202096 and 415202105.

It is a congruent number.

It is an unprimeable number.

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, 319477 + ... + 320773.

It is an arithmetic number, because the mean of its divisors is an integer number (17540523).

Almost surely, 2^415202125 is an apocalyptic number.

It is an amenable number.

415202125 is a deficient number, since it is larger than the sum of its proper divisors (146094611).

415202125 is a wasteful number, since it uses less digits than its factorization.

415202125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 415202125 is about 20376.5091465638. The cubic root of 415202125 is about 746.0246699334.

Adding to 415202125 its reverse (521202514), we get a palindrome (936404639).

The spelling of 415202125 in words is "four hundred fifteen million, two hundred two thousand, one hundred twenty-five".