511126334761 has 27 divisors (see below), whose sum is σ = 600721508709. Its totient is φ = 433625669568.

The previous prime is 511126334723. The next prime is 511126334767. The reversal of 511126334761 is 167433621115.

It is a happy number.

The square root of 511126334761 is 714931.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60557827225 + 450568507536 = 246085^2 + 671244^2 .

It is not a de Polignac number, because 511126334761 - 2⁹ = 511126334249 is a prime.

It is a super-2 number, since 2×511126334761² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511126334767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 545491885 + ... + 545492821.

It is an arithmetic number, because the mean of its divisors is an integer number (22248944767).

Almost surely, 2^511126334761 is an apocalyptic number.

511126334761 is the 714931-st square number.

511126334761 is the 357466-th centered octagonal number.

It is an amenable number.

511126334761 is a deficient number, since it is larger than the sum of its proper divisors (89595173948).

511126334761 is an frugal number, since it uses more digits than its factorization.

511126334761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

Adding to 511126334761 its reverse (167433621115), we get a palindrome (678559955876).

The spelling of 511126334761 in words is "five hundred eleven billion, one hundred twenty-six million, three hundred thirty-four thousand, seven hundred sixty-one".