513219217 has 16 divisors (see below), whose sum is σ = 612760320. Its totient is φ = 420279552.

The previous prime is 513219199. The next prime is 513219221. The reversal of 513219217 is 712912315.

It is a de Polignac number, because none of the positive numbers 2^k-513219217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513219247) 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, 206293 + ... + 208765.

It is an arithmetic number, because the mean of its divisors is an integer number (38297520).

Almost surely, 2^513219217 is an apocalyptic number.

It is an amenable number.

513219217 is a deficient number, since it is larger than the sum of its proper divisors (99541103).

513219217 is a wasteful number, since it uses less digits than its factorization.

513219217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792.

The product of its digits is 3780, while the sum is 31.

The square root of 513219217 is about 22654.3421224277. The cubic root of 513219217 is about 800.6345054746.

The spelling of 513219217 in words is "five hundred thirteen million, two hundred nineteen thousand, two hundred seventeen".