513251697 has 32 divisors (see below), whose sum is σ = 794327040. Its totient is φ = 288731520.

The previous prime is 513251681. The next prime is 513251723. The reversal of 513251697 is 796152315.

It is not a de Polignac number, because 513251697 - 2⁴ = 513251681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513250697) 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 31 ways as a sum of consecutive naturals, for example, 580818 + ... + 581700.

It is an arithmetic number, because the mean of its divisors is an integer number (24822720).

Almost surely, 2^513251697 is an apocalyptic number.

It is an amenable number.

513251697 is a deficient number, since it is larger than the sum of its proper divisors (281075343).

513251697 is a wasteful number, since it uses less digits than its factorization.

513251697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its digits is 56700, while the sum is 39.

The square root of 513251697 is about 22655.0589714527. The cubic root of 513251697 is about 800.6513949826.

The spelling of 513251697 in words is "five hundred thirteen million, two hundred fifty-one thousand, six hundred ninety-seven".