511984611961 has 9 divisors (see below), whose sum is σ = 513692526991. Its totient is φ = 510282363712.

The previous prime is 511984611953. The next prime is 511984611989. The reversal of 511984611961 is 169116489115.

The square root of 511984611961 is 715531.

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

It can be written as a sum of positive squares in only one way, i.e., 208004405625 + 303980206336 = 456075^2 + 551344^2 .

It is not a de Polignac number, because 511984611961 - 2³ = 511984611953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 511984611899 and 511984611908.

It is not an unprimeable number, because it can be changed into a prime (511984621961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252581430 + ... + 252583456.

Almost surely, 2^511984611961 is an apocalyptic number.

511984611961 is the 715531-st square number.

511984611961 is the 357766-th centered octagonal number.

It is an amenable number.

511984611961 is a deficient number, since it is larger than the sum of its proper divisors (1707915030).

511984611961 is an frugal number, since it uses more digits than its factorization.

511984611961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 2380 counting only the distinct ones).

The product of its digits is 466560, while the sum is 52.

The spelling of 511984611961 in words is "five hundred eleven billion, nine hundred eighty-four million, six hundred eleven thousand, nine hundred sixty-one".