511314521341311 has 80 divisors (see below), whose sum is σ = 830643287063040. Its totient is φ = 312139032468480.

The previous prime is 511314521341289. The next prime is 511314521341319. The reversal of 511314521341311 is 113143125413115.

511314521341311 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 14 + 5 + 213 + 413 + 11 = 666.

It is not a de Polignac number, because 511314521341311 - 2¹⁷ = 511314521210239 is a prime.

It is a super-2 number, since 2×511314521341311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511314521341319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1124675701 + ... + 1125130241.

It is an arithmetic number, because the mean of its divisors is an integer number (10383041088288).

Almost surely, 2^{511314521341311} is an apocalyptic number.

511314521341311 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

511314521341311 is a deficient number, since it is larger than the sum of its proper divisors (319328765721729).

511314521341311 is a wasteful number, since it uses less digits than its factorization.

511314521341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476686 (or 476677 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Adding to 511314521341311 its reverse (113143125413115), we get a palindrome (624457646754426).

The spelling of 511314521341311 in words is "five hundred eleven trillion, three hundred fourteen billion, five hundred twenty-one million, three hundred forty-one thousand, three hundred eleven".