513768645 has 96 divisors (see below), whose sum is σ = 1069286400. Its totient is φ = 225441792.

The previous prime is 513768631. The next prime is 513768701. The reversal of 513768645 is 546867315.

513768645 is a `hidden beast` number, since 513 + 76 + 8 + 64 + 5 = 666.

It is not a de Polignac number, because 513768645 - 2¹⁵ = 513735877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 513768645.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 187596 + ... + 190314.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^513768645 is an apocalyptic number.

It is an amenable number.

513768645 is an abundant number, since it is smaller than the sum of its proper divisors (555517755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513768645 is a wasteful number, since it uses less digits than its factorization.

513768645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2776 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 513768645 is about 22666.4652074381. The cubic root of 513768645 is about 800.9201106107.

The spelling of 513768645 in words is "five hundred thirteen million, seven hundred sixty-eight thousand, six hundred forty-five".