52105311523 has 12 divisors (see below), whose sum is σ = 55010502120. Its totient is φ = 49346348256.

The previous prime is 52105311509. The next prime is 52105311527. The reversal of 52105311523 is 32511350125.

It is not a de Polignac number, because 52105311523 - 2²⁵ = 52071757091 is a prime.

It is a super-4 number, since 4×52105311523⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52105311491 and 52105311500.

It is not an unprimeable number, because it can be changed into a prime (52105311527) 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 11 ways as a sum of consecutive naturals, for example, 1127863 + ... + 1173151.

It is an arithmetic number, because the mean of its divisors is an integer number (4584208510).

Almost surely, 2^52105311523 is an apocalyptic number.

52105311523 is a deficient number, since it is larger than the sum of its proper divisors (2905190597).

52105311523 is a wasteful number, since it uses less digits than its factorization.

52105311523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48514 (or 48495 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 52105311523 its reverse (32511350125), we get a palindrome (84616661648).

The spelling of 52105311523 in words is "fifty-two billion, one hundred five million, three hundred eleven thousand, five hundred twenty-three".