517102413 has 32 divisors (see below), whose sum is σ = 769720320. Its totient is φ = 307265280.

The previous prime is 517102409. The next prime is 517102463. The reversal of 517102413 is 314201715.

It is not a de Polignac number, because 517102413 - 2² = 517102409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517102463) 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 31 ways as a sum of consecutive naturals, for example, 70828 + ... + 77786.

It is an arithmetic number, because the mean of its divisors is an integer number (24053760).

Almost surely, 2^517102413 is an apocalyptic number.

It is an amenable number.

517102413 is a deficient number, since it is larger than the sum of its proper divisors (252617907).

517102413 is a wasteful number, since it uses less digits than its factorization.

517102413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 517102413 is about 22739.8859495821. The cubic root of 517102413 is about 802.6487273963.

The spelling of 517102413 in words is "five hundred seventeen million, one hundred two thousand, four hundred thirteen".