511111411313132 has 96 divisors (see below), whose sum is σ = 1122859910860800. Its totient is φ = 198487123002432.

The previous prime is 511111411313093. The next prime is 511111411313179. The reversal of 511111411313132 is 231313114111115.

It is a super-2 number, since 2×511111411313132² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511111411313095 and 511111411313104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265037663 + ... + 266959145.

It is an arithmetic number, because the mean of its divisors is an integer number (11696457404800).

Almost surely, 2^{511111411313132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511111411313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561429955430400).

511111411313132 is an abundant number, since it is smaller than the sum of its proper divisors (611748499547668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511111411313132 is a wasteful number, since it uses less digits than its factorization.

511111411313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943275 (or 1943273 counting only the distinct ones).

The product of its digits is 1080, while the sum is 29.

Adding to 511111411313132 its reverse (231313114111115), we get a palindrome (742424525424247).

The spelling of 511111411313132 in words is "five hundred eleven trillion, one hundred eleven billion, four hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".