510140206081 has 27 divisors (see below), whose sum is σ = 580994464323. Its totient is φ = 447571980240.

The previous prime is 510140206067. The next prime is 510140206183. The reversal of 510140206081 is 180602041015.

The square root of 510140206081 is 714241.

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., 267505149681 + 242635056400 = 517209^2 + 492580^2 .

It is not a de Polignac number, because 510140206081 - 2²⁷ = 510005988353 is a prime.

It is a super-2 number, since 2×510140206081² (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 (510140206031) 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 26 ways as a sum of consecutive naturals, for example, 227841760 + ... + 227843998.

Almost surely, 2^510140206081 is an apocalyptic number.

510140206081 is the 714241-st square number.

510140206081 is the 357121-st centered octagonal number.

It is an amenable number.

510140206081 is a deficient number, since it is larger than the sum of its proper divisors (70854258242).

510140206081 is an frugal number, since it uses more digits than its factorization.

510140206081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 510140206081 its reverse (180602041015), we get a palindrome (690742247096).

The spelling of 510140206081 in words is "five hundred ten billion, one hundred forty million, two hundred six thousand, eighty-one".