513727315 has 16 divisors (see below), whose sum is σ = 641325600. Its totient is φ = 394573312.

The previous prime is 513727307. The next prime is 513727327.

513727315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 513727315 - 2³ = 513727307 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16059 + ... + 35851.

It is an arithmetic number, because the mean of its divisors is an integer number (40082850).

Almost surely, 2^513727315 is an apocalyptic number.

513727315 is a deficient number, since it is larger than the sum of its proper divisors (127598285).

513727315 is a wasteful number, since it uses less digits than its factorization.

513727315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006.

The product of its digits is 22050, while the sum is 34.

The square root of 513727315 is about 22665.5534898224. The cubic root of 513727315 is about 800.8986334237.

The spelling of 513727315 in words is "five hundred thirteen million, seven hundred twenty-seven thousand, three hundred fifteen".