513641313 has 24 divisors (see below), whose sum is σ = 775307520. Its totient is φ = 327064320.

The previous prime is 513641209. The next prime is 513641347. The reversal of 513641313 is 313146315.

513641313 is a `hidden beast` number, since 5 + 1 + 3 + 641 + 3 + 13 = 666.

It is not a de Polignac number, because 513641313 - 2⁸ = 513641057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513643313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190968 + ... + 193638.

It is an arithmetic number, because the mean of its divisors is an integer number (32304480).

Almost surely, 2^513641313 is an apocalyptic number.

It is an amenable number.

513641313 is a deficient number, since it is larger than the sum of its proper divisors (261666207).

513641313 is a wasteful number, since it uses less digits than its factorization.

513641313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3626 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 513641313 is about 22663.6562143005. The cubic root of 513641313 is about 800.8539386824.

Adding to 513641313 its reverse (313146315), we get a palindrome (826787628).

The spelling of 513641313 in words is "five hundred thirteen million, six hundred forty-one thousand, three hundred thirteen".