415242513 has 18 divisors (see below), whose sum is σ = 697721154. Its totient is φ = 237281184.

The previous prime is 415242491. The next prime is 415242521. The reversal of 415242513 is 315242514.

415242513 is a `hidden beast` number, since 415 + 242 + 5 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236298384 + 178944129 = 15372^2 + 13377^2 .

It is not a de Polignac number, because 415242513 - 2⁵ = 415242481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415242533) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 470356 + ... + 471237.

Almost surely, 2^415242513 is an apocalyptic number.

It is an amenable number.

415242513 is a deficient number, since it is larger than the sum of its proper divisors (282478641).

415242513 is a wasteful number, since it uses less digits than its factorization.

415242513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941613 (or 941603 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 415242513 is about 20377.5001656238. The cubic root of 415242513 is about 746.0488585278.

Subtracting from 415242513 its reverse (315242514), we obtain a palindrome (99999999).

It can be divided in two parts, 4152 and 42513, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 415242513 in words is "four hundred fifteen million, two hundred forty-two thousand, five hundred thirteen".