513301307 has 4 divisors (see below), whose sum is σ = 513460200. Its totient is φ = 513142416.

The previous prime is 513301301. The next prime is 513301309. The reversal of 513301307 is 703103315.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513301307 - 2²⁰ = 512252731 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513301301) 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 3 ways as a sum of consecutive naturals, for example, 74498 + ... + 81095.

It is an arithmetic number, because the mean of its divisors is an integer number (128365050).

Almost surely, 2^513301307 is an apocalyptic number.

513301307 is a deficient number, since it is larger than the sum of its proper divisors (158893).

513301307 is a wasteful number, since it uses less digits than its factorization.

513301307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158892.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 513301307 is about 22656.1538439339. The cubic root of 513301307 is about 800.6771906668.

The spelling of 513301307 in words is "five hundred thirteen million, three hundred one thousand, three hundred seven".