52105311500 has 96 divisors (see below), whose sum is σ = 128148314112. Its totient is φ = 18336120000.

The previous prime is 52105311487. The next prime is 52105311509. The reversal of 52105311500 is 511350125.

It is a happy number.

52105311500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52105311509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17699 + ... + 323301.

It is an arithmetic number, because the mean of its divisors is an integer number (1334878272).

Almost surely, 2^52105311500 is an apocalyptic number.

52105311500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52105311500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64074157056).

52105311500 is an abundant number, since it is smaller than the sum of its proper divisors (76043002612).

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

52105311500 is a wasteful number, since it uses less digits than its factorization.

52105311500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305664 (or 305652 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 52105311500 its reverse (511350125), we get a palindrome (52616661625).

The spelling of 52105311500 in words is "fifty-two billion, one hundred five million, three hundred eleven thousand, five hundred".