52053764500 has 96 divisors (see below), whose sum is σ = 118963222560. Its totient is φ = 19876147200.

The previous prime is 52053764489. The next prime is 52053764531. The reversal of 52053764500 is 546735025.

It can be written as a sum of positive squares in 16 ways, for example, as 32780550916 + 19273213584 = 181054^2 + 138828^2 .

It is a super-3 number, since 3×52053764500³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 52053764500.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 953956 + ... + 1007044.

It is an arithmetic number, because the mean of its divisors is an integer number (1239200235).

Almost surely, 2^52053764500 is an apocalyptic number.

52053764500 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 52053764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59481611280).

52053764500 is an abundant number, since it is smaller than the sum of its proper divisors (66909458060).

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

52053764500 is a wasteful number, since it uses less digits than its factorization.

52053764500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53198 (or 53186 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 52053764500 in words is "fifty-two billion, fifty-three million, seven hundred sixty-four thousand, five hundred".