415034513 has 16 divisors (see below), whose sum is σ = 440055504. Its totient is φ = 390896640.

The previous prime is 415034453. The next prime is 415034527. The reversal of 415034513 is 315430514.

It can be written as a sum of positive squares in 8 ways, for example, as 42081169 + 372953344 = 6487^2 + 19312^2 .

It is a cyclic number.

It is not a de Polignac number, because 415034513 - 2⁶ = 415034449 is a prime.

It is a super-2 number, since 2×415034513² = 344507293962294338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415034813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206831 + ... + 208827.

It is an arithmetic number, because the mean of its divisors is an integer number (27503469).

Almost surely, 2^415034513 is an apocalyptic number.

It is an amenable number.

415034513 is a deficient number, since it is larger than the sum of its proper divisors (25020991).

415034513 is a wasteful number, since it uses less digits than its factorization.

415034513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 415034513 is about 20372.3958581214. The cubic root of 415034513 is about 745.9242694222.

The spelling of 415034513 in words is "four hundred fifteen million, thirty-four thousand, five hundred thirteen".