513964249569 has 15 divisors (see below), whose sum is σ = 767783394147. Its totient is φ = 342638531568.

The previous prime is 513964249543. The next prime is 513964249571. The reversal of 513964249569 is 965942469315.

The square root of 513964249569 is 716913.

It is a perfect power (a square), and thus also a powerful number.

513964249569 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 64 + 2 + 4 + 9 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 428049605025 + 85914644544 = 654255^2 + 293112^2 .

It is not a de Polignac number, because 513964249569 - 2¹⁹ = 513963725281 is a prime.

It is a super-2 number, since 2×513964249569² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513964249529) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 6412389 + ... + 6492045.

Almost surely, 2^513964249569 is an apocalyptic number.

513964249569 is the 716913-rd square number.

513964249569 is the 358457-th centered octagonal number.

It is an amenable number.

513964249569 is a deficient number, since it is larger than the sum of its proper divisors (253819144578).

513964249569 is an frugal number, since it uses more digits than its factorization.

513964249569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159326 (or 79660 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 513964249569 in words is "five hundred thirteen billion, nine hundred sixty-four million, two hundred forty-nine thousand, five hundred sixty-nine".