513747315 has 12 divisors (see below), whose sum is σ = 890495424. Its totient is φ = 273998544.

The previous prime is 513747313. The next prime is 513747319.

513747315 is a `hidden beast` number, since 513 + 74 + 73 + 1 + 5 = 666.

513747315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513747315 - 2¹ = 513747313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513747315.

It is not an unprimeable number, because it can be changed into a prime (513747313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5708259 + ... + 5708348.

It is an arithmetic number, because the mean of its divisors is an integer number (74207952).

Almost surely, 2^513747315 is an apocalyptic number.

513747315 is a deficient number, since it is larger than the sum of its proper divisors (376748109).

513747315 is a wasteful number, since it uses less digits than its factorization.

513747315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416618 (or 11416615 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 513747315 is about 22665.9946836665. The cubic root of 513747315 is about 800.9090265929.

The spelling of 513747315 in words is "five hundred thirteen million, seven hundred forty-seven thousand, three hundred fifteen".