513653841 has 6 divisors (see below), whose sum is σ = 741944450. Its totient is φ = 342435888.

The previous prime is 513653797. The next prime is 513653851. The reversal of 513653841 is 148356315.

513653841 is a `hidden beast` number, since 51 + 36 + 538 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 506250000 + 7403841 = 22500^2 + 2721^2 .

It is not a de Polignac number, because 513653841 - 2¹⁷ = 513522769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513653796 and 513653805.

It is not an unprimeable number, because it can be changed into a prime (513653851) 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 5 ways as a sum of consecutive naturals, for example, 28536316 + ... + 28536333.

Almost surely, 2^513653841 is an apocalyptic number.

It is an amenable number.

513653841 is a deficient number, since it is larger than the sum of its proper divisors (228290609).

513653841 is a wasteful number, since it uses less digits than its factorization.

513653841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57072655 (or 57072652 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 513653841 is about 22663.9326022648. The cubic root of 513653841 is about 800.8604497219.

The spelling of 513653841 in words is "five hundred thirteen million, six hundred fifty-three thousand, eight hundred forty-one".