52051344400 has 90 divisors (see below), whose sum is σ = 137455468346. Its totient is φ = 18927744000.

The previous prime is 52051344343. The next prime is 52051344409. The reversal of 52051344400 is 444315025.

It can be written as a sum of positive squares in 3 ways, for example, as 83759104 + 51967585296 = 9152^2 + 227964^2 .

It is a super-2 number, since 2×52051344400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52051344409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 489321 + ... + 586120.

Almost surely, 2^52051344400 is an apocalyptic number.

52051344400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52051344400 is an abundant number, since it is smaller than the sum of its proper divisors (85404123946).

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

52051344400 is a wasteful number, since it uses less digits than its factorization.

52051344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075481 (or 1075459 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 52051344400 its reverse (444315025), we get a palindrome (52495659425).

The spelling of 52051344400 in words is "fifty-two billion, fifty-one million, three hundred forty-four thousand, four hundred".