517413 has 8 divisors (see below), whose sum is σ = 743008. Its totient is φ = 318384.

The previous prime is 517411. The next prime is 517417. The reversal of 517413 is 314715.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 517413 - 2¹ = 517411 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 517413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6595 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (92876).

2⁵¹⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

517413 is a deficient number, since it is larger than the sum of its proper divisors (225595).

517413 is a wasteful number, since it uses less digits than its factorization.

517413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283.

The product of its digits is 420, while the sum is 21.

The square root of 517413 is about 719.3142567752. The cubic root of 517413 is about 80.2809393420.

The spelling of 517413 in words is "five hundred seventeen thousand, four hundred thirteen".