510911877961 has 3 divisors (see below), whose sum is σ = 510912592743. Its totient is φ = 510911163180.

The previous prime is 510911877947. The next prime is 510911877967. The reversal of 510911877961 is 169778119015.

The square root of 510911877961 is 714781.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 86094709561 + 424817168400 = 293419^2 + 651780^2 .

It is not a de Polignac number, because 510911877961 - 2⁵ = 510911877929 is a prime.

It is a super-2 number, since 2×510911877961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (510911877967) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 357391 + ... + 1072171.

It is an arithmetic number, because the mean of its divisors is an integer number (170304197581).

Almost surely, 2^510911877961 is an apocalyptic number.

510911877961 is the 714781-st square number.

510911877961 is the 357391-st centered octagonal number.

It is an amenable number.

510911877961 is a deficient number, since it is larger than the sum of its proper divisors (714782).

510911877961 is an frugal number, since it uses more digits than its factorization.

510911877961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429562 (or 714781 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 55.

The spelling of 510911877961 in words is "five hundred ten billion, nine hundred eleven million, eight hundred seventy-seven thousand, nine hundred sixty-one".