513222315 has 16 divisors (see below), whose sum is σ = 831552000. Its totient is φ = 270253152.

The previous prime is 513222271. The next prime is 513222331.

It is a happy number.

513222315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513222315 - 2¹⁹ = 512698027 is a prime.

It is a super-2 number, since 2×513222315² = 526794289227918450, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 215365 + ... + 217734.

It is an arithmetic number, because the mean of its divisors is an integer number (51972000).

Almost surely, 2^513222315 is an apocalyptic number.

513222315 is a deficient number, since it is larger than the sum of its proper divisors (318329685).

513222315 is a wasteful number, since it uses less digits than its factorization.

513222315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433186.

The product of its digits is 1800, while the sum is 24.

The square root of 513222315 is about 22654.4104977375. The cubic root of 513222315 is about 800.6361164566.

The spelling of 513222315 in words is "five hundred thirteen million, two hundred twenty-two thousand, three hundred fifteen".