417160013 has 4 divisors (see below), whose sum is σ = 417337020. Its totient is φ = 416983008.

The previous prime is 417160001. The next prime is 417160021. The reversal of 417160013 is 310061714.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310061714 = 2 ⋅155030857.

It can be written as a sum of positive squares in 2 ways, for example, as 132664324 + 284495689 = 11518^2 + 16867^2 .

It is a cyclic number.

It is not a de Polignac number, because 417160013 - 2¹² = 417155917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417160313) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 84920 + ... + 89697.

It is an arithmetic number, because the mean of its divisors is an integer number (104334255).

Almost surely, 2^417160013 is an apocalyptic number.

It is an amenable number.

417160013 is a deficient number, since it is larger than the sum of its proper divisors (177007).

417160013 is a wasteful number, since it uses less digits than its factorization.

417160013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177006.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 417160013 is about 20424.4954160439. The cubic root of 417160013 is about 747.1954594379.

The spelling of 417160013 in words is "four hundred seventeen million, one hundred sixty thousand, thirteen".