513728607 has 16 divisors (see below), whose sum is σ = 788083200. Its totient is φ = 291587232.

The previous prime is 513728569. The next prime is 513728617. The reversal of 513728607 is 706827315.

It is not a de Polignac number, because 513728607 - 2⁶ = 513728543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513728617) 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, 78963 + ... + 85220.

It is an arithmetic number, because the mean of its divisors is an integer number (49255200).

Almost surely, 2^513728607 is an apocalyptic number.

513728607 is a deficient number, since it is larger than the sum of its proper divisors (274354593).

513728607 is a wasteful number, since it uses less digits than its factorization.

513728607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164342.

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 513728607 is about 22665.5819912042. The cubic root of 513728607 is about 800.8993048306.

The spelling of 513728607 in words is "five hundred thirteen million, seven hundred twenty-eight thousand, six hundred seven".